Maths-
General
Easy

Question

If Tan space m theta equals Cotn space theta then the G S of theta =

  1. fraction numerator left parenthesis k plus 1 right parenthesis pi over denominator 2 left parenthesis m plus n right parenthesis end fraction comma straight for all k element of Z
  2. fraction numerator left parenthesis 2 k plus 1 right parenthesis pi over denominator 2 left parenthesis m plus n right parenthesis end fraction comma straight for all k element of Z
  3. fraction numerator left parenthesis 2 k plus 1 right parenthesis pi over denominator m plus n end fraction comma straight for all k element of Z  
  4. fraction numerator left parenthesis 2 k plus 1 right parenthesis pi over denominator m minus n end fraction comma straight for all k element of Z

The correct answer is: fraction numerator left parenthesis 2 k plus 1 right parenthesis pi over denominator 2 left parenthesis m plus n right parenthesis end fraction comma straight for all k element of Z

Related Questions to study

General
physics-

A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of  with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take straight g equals 10 straight m divided by straight s squared
):

A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of  with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take straight g equals 10 straight m divided by straight s squared
):

physics-General
General
physics-

An inclined plane makes an angles  with the horizontal. A groove OA=5m cut in the plane makes an angle  with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is open parentheses straight q equals 10 straight m divided by straight s squared close parentheses

An inclined plane makes an angles  with the horizontal. A groove OA=5m cut in the plane makes an angle  with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is open parentheses straight q equals 10 straight m divided by straight s squared close parentheses

physics-General
General
maths-

The general value of theta satisfies the equation Tan space theta Tan space open parentheses 120 to the power of ring operator plus theta close parentheses Tan space open parentheses 120 to the power of ring operator minus theta close parentheses equals fraction numerator 1 over denominator square root of 3 end fraction is

The general value of theta satisfies the equation Tan space theta Tan space open parentheses 120 to the power of ring operator plus theta close parentheses Tan space open parentheses 120 to the power of ring operator minus theta close parentheses equals fraction numerator 1 over denominator square root of 3 end fraction is

maths-General
parallel
General
physics-

A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?

A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?

physics-General
General
maths-

If Tan space x plus 2 Tan space 2 x plus 4 Tan space 4 x plus 8 C cot space 8 x equals square root of 3 then the general solution of x=

If Tan space x plus 2 Tan space 2 x plus 4 Tan space 4 x plus 8 C cot space 8 x equals square root of 3 then the general solution of x=

maths-General
General
physics-

An ideal string is passing over a smooth pulley as shown. Two blocks  and  are connected at the ends of the string. If  = 1 kg and tension in the string is 10 N, mass m2 is equal to open parentheses straight g equals 10 straight m divided by straight s squared close parentheses

An ideal string is passing over a smooth pulley as shown. Two blocks  and  are connected at the ends of the string. If  = 1 kg and tension in the string is 10 N, mass m2 is equal to open parentheses straight g equals 10 straight m divided by straight s squared close parentheses

physics-General
parallel
General
Maths-

Tan space open parentheses pi over 4 plus A over 2 close parentheses plus Tan space open parentheses pi over 4 minus A over 2 close parentheses equals fraction numerator 4 over denominator square root of 3 end fraction; then the general solution of A=

Tan space open parentheses pi over 4 plus A over 2 close parentheses plus Tan space open parentheses pi over 4 minus A over 2 close parentheses equals fraction numerator 4 over denominator square root of 3 end fraction; then the general solution of A=

Maths-General
General
physics-

Three forces ,  and  act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?

Three forces ,  and  act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?

physics-General
General
maths-

The general solution of sin space 2 x equals 4 cos space x is

The general solution of sin space 2 x equals 4 cos space x is

maths-General
parallel
General
Maths-

If 11 sin squared space x plus 7 Cos squared space x equals 8 then x = - ....

Here, we have to find the value of x.
11 sin2x + 7 cos2x = 8 .
Or, 11 sin2x + 7 ( 1 - sin2x) = 8 .
Or, 11 sin2x + 7 - 7sin2x = 8 .
Or, 11sin2x - 7 sin2x = 8 - 7 .
Or, 4sin2x = 1
Or, sin2x = 1/4
Or, Sin2 x= Sinπ/6
x = π/6
Hence, the correct option is (c).

If 11 sin squared space x plus 7 Cos squared space x equals 8 then x = - ....

Maths-General
Here, we have to find the value of x.
11 sin2x + 7 cos2x = 8 .
Or, 11 sin2x + 7 ( 1 - sin2x) = 8 .
Or, 11 sin2x + 7 - 7sin2x = 8 .
Or, 11sin2x - 7 sin2x = 8 - 7 .
Or, 4sin2x = 1
Or, sin2x = 1/4
Or, Sin2 x= Sinπ/6
x = π/6
Hence, the correct option is (c).
General
Maths-

The general solution of fraction numerator Tan space 2 x minus Tan space x over denominator 1 plus Tan space x times Tan space 2 x end fraction equals 1 i

Here, we have to find the general solution.
Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 .
Or, Tan (2x - 1 ) = 1 .
Or, Tan x = 1 .
Hence, the correct option is (d).

The general solution of fraction numerator Tan space 2 x minus Tan space x over denominator 1 plus Tan space x times Tan space 2 x end fraction equals 1 i

Maths-General
Here, we have to find the general solution.
Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 .
Or, Tan (2x - 1 ) = 1 .
Or, Tan x = 1 .
Hence, the correct option is (d).
General
Maths-

If Error converting from MathML to accessible text. then Error converting from MathML to accessible text.

If Error converting from MathML to accessible text.
then Error converting from MathML to accessible text. = 0

If Error converting from MathML to accessible text. then Error converting from MathML to accessible text.

Maths-General
If Error converting from MathML to accessible text.
then Error converting from MathML to accessible text. = 0
parallel
General
maths-

The most general value of theta satisfying the equations Sin space theta equals fraction numerator 1 over denominator square root of 2 end fraction comma Cos space theta equals negative fraction numerator 1 over denominator square root of 2 end fraction is

The most general value of theta satisfying the equations Sin space theta equals fraction numerator 1 over denominator square root of 2 end fraction comma Cos space theta equals negative fraction numerator 1 over denominator square root of 2 end fraction is

maths-General
General
maths-

The smallest value of theta satisfying the equation square root of 3 left parenthesis Cot space theta plus Tan space theta right parenthesis equals 4 IS

The smallest value of theta satisfying the equation square root of 3 left parenthesis Cot space theta plus Tan space theta right parenthesis equals 4 IS

maths-General
General
maths-

If sin space 2 theta minus cos space 3 theta equals 0 and theta is acute then theta

If sin space 2 theta minus cos space 3 theta equals 0 and theta is acute then theta

maths-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.