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Maths-

General

Easy

Question

If $i to the power of z equals e times left parenthesis c o s theta plus i s i n theta right parenthesis$ and principal value be considered then value of z is-

$\frac{π}{2} (θ - i^{i})$
$\frac{2}{π} (θ - i)$
$2 π (θ - i)$
None of these

The correct answer is: $2 over pi left parenthesis theta minus straight i right parenthesis$

Related Questions to study

$log subscript 10 tan 1 to the power of ring operator plus log subscript 10 tan 2 to the power of ring operator plus midline horizontal ellipsis plus log subscript 10 tan 89 to the power of ring operator equals$

$log subscript 10 tan 1 to the power of ring operator plus log subscript 10 tan 2 to the power of ring operator plus midline horizontal ellipsis plus log subscript 10 tan 89 to the power of ring operator equals$

The conditional $left parenthesis p logical and q right parenthesis not stretchy rightwards double arrow p$ is

The conditional $left parenthesis p logical and q right parenthesis not stretchy rightwards double arrow p$ is

If p and q are simple propositions, then $p left right double arrow tilde q$ is true when

If p and q are simple propositions, then $p left right double arrow tilde q$ is true when

parallel

Using Simpson’s $fraction numerator 1 over denominator 3 end fraction$ rule, the value of $not stretchy integral subscript 1 end subscript superscript 3 end superscript f left parenthesis x right parenthesis d x$ for the following data, is

Using Simpson’s $fraction numerator 1 over denominator 3 end fraction$ rule, the value of $not stretchy integral subscript 1 end subscript superscript 3 end superscript f left parenthesis x right parenthesis d x$ for the following data, is

A curve passes through the points given by the following table :

By Simpson’s rule, the area bounded by the curve, the x-axis and the lines x=1, x=4, is

A curve passes through the points given by the following table :

By Simpson’s rule, the area bounded by the curve, the x-axis and the lines x=1, x=4, is

With the help of trapezoidal rule for numerical integration and the following table

the value of $not stretchy integral subscript 0 end subscript superscript 1 end superscript f left parenthesis x right parenthesis d x$ is

With the help of trapezoidal rule for numerical integration and the following table

the value of $not stretchy integral subscript 0 end subscript superscript 1 end superscript f left parenthesis x right parenthesis d x$ is

parallel

A river is 80 metre wide. Its depth d metre and corresponding distance x metre from one bank is given below in table

Then approximate area of cross-section of river by Trapezoidal rule, is

A river is 80 metre wide. Its depth d metre and corresponding distance x metre from one bank is given below in table

Then approximate area of cross-section of river by Trapezoidal rule, is

A curve passes through

Then area bounded by x=1 and x=4 by Trapezoidal rule, is

A curve passes through

Then area bounded by x=1 and x=4 by Trapezoidal rule, is

A curve passes through the points given by the following table :

By Trapezoidal rule, the area bounded by the curve, the x-axis and the lines x=1, x=5, is

A curve passes through the points given by the following table :

By Trapezoidal rule, the area bounded by the curve, the x-axis and the lines x=1, x=5, is

parallel

From the following table, using Trapezoidal rule, the area bounded by the curve, the x-axis and the lines x=7.47, x=7.52, is

From the following table, using Trapezoidal rule, the area bounded by the curve, the x-axis and the lines x=7.47, x=7.52, is

In the group (G={0,1,2,3,4},+5) the inverse of $open parentheses 2 plus 5 to the power of 2 minus 1 end exponent close parentheses$ is

In the group (G={0,1,2,3,4},+5) the inverse of $open parentheses 2 plus 5 to the power of 2 minus 1 end exponent close parentheses$ is

If (G,×) is a group such that $left parenthesis a cross times b right parenthesis squared equals left parenthesis a cross times a right parenthesis cross times left parenthesis b cross times b right parenthesis$ for all $a comma b cross times G comma$ then G is

If (G,×) is a group such that $left parenthesis a cross times b right parenthesis squared equals left parenthesis a cross times a right parenthesis cross times left parenthesis b cross times b right parenthesis$ for all $a comma b cross times G comma$ then G is

parallel

In any group the number of improper subgroups is

In any group the number of improper subgroups is

Shaded region is represented by

Shaded region is represented by

For the following shaded area, the linear constraints except $x greater or equal than 0$ and $y greater or equal than 0$ , are

For the following shaded area, the linear constraints except $x greater or equal than 0$ and $y greater or equal than 0$ , are

parallel

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