Question
The equation
has
- 2 solutions in (0,
)
- 4 solutions in (0,2
)
- 2 Solutions in (-
,
) - 4 Solutions in (-
,
)
The correct answer is: 4 solutions in (0,2
)
![sin to the power of 4 end exponent invisible function application x minus cos to the power of 2 end exponent invisible function application xsin invisible function application x plus 2 sin to the power of 2 end exponent invisible function application x plus sin invisible function application x equals 0](data:image/png;base64,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)
![table row cell s i n invisible function application x open square brackets sin to the power of 3 end exponent invisible function application x minus cos to the power of 2 end exponent invisible function application x plus 2 sin invisible function application x plus 1 close square brackets equals 0 end cell row cell s i n invisible function application x open square brackets sin to the power of 3 end exponent invisible function application x minus 1 plus sin to the power of 2 end exponent invisible function application x plus 2 sin invisible function application x plus 1 close square brackets equals 0 end cell row cell s i n invisible function application x open square brackets sin to the power of 3 end exponent invisible function application x plus sin to the power of 2 end exponent invisible function application x plus 2 sin invisible function application x close square brackets equals 0 end cell row cell s i n to the power of 2 end exponent invisible function application x equals 0 text end text text o end text text r end text text end text s i n to the power of 2 end exponent invisible function application x plus s i n invisible function application x plus 2 equals 0 end cell end table](data:image/png;base64,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)
(not possible for real x)
![text or end text sin invisible function application x equals 0](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAANCAYAAAA69Dm5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAcpJREFUeNpjYBhY8J9h6AA+IJ4GxCeheCZUbFCAoRSQe4HYD4nvAxUbBSSAUCCehEV8AhBHoguCQvgaEP+C0n44UpAsEM8H4k9A/AeP5UpAvB+Iv0H1/SciRf5HcvhdIP4BxAehdqKDZCDuwCLeDJWjJlgDxG5YxB2hcnBgDnW4DpSvA+VbYvHoNahD2QhYfgZHZBAKSFAgdgGxPFQsERqY2MA5IBZH4oPUTiFgHyGMDbzD4V+Q2Ev0EPfBkkI3YHGIMZGxCEqJgmQEpCOaGBM0l2ADHkDcB2W70LDMwpfzUNz2CUuIs0HFya0cAoD4KLYyhIisTUqltBuI7YH4AhALD0BA/iDGob8orGV5gHg2tDhQo1FAFkDdqUdkK4GcrP0SR9bmQM/atEiRyKASWp5ROyCtocVSH4GUT43KxgOLuBt6ZbMGS8UAyprrqBSQuMo5SgIS1CrYBMRc0JR/hoZZOwias9DBfPQINIXW0lpQvh6Ub02lgEyGNoWoFZCiQLwNLeBAleNiGqbK/dBihAWaW6txtSZADrkBTTlXoCmSkp4IrMz5A/W0JJUCkg2aU6SxqFuOIwtSA4BaIHOhlcs3aBeRZ7SvQmUAAAVojrQdbDWuAAAAkXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGV4dD5vciYjeEEwOzwvbXRleHQ+PG1pPnNpbjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+eDwvbWk+PG1vPj08L21vPjxtbj4wPC9tbj48L21hdGg+1lItLwAAAABJRU5ErkJggg==)
Hence, the solutions are x = 0, p, 2p, 3p.
Related Questions to study
if
if
If
, the coefficient of
in the expansion of
is
If
, the coefficient of
in the expansion of
is
If
for
then ![open parentheses sum from K equals 1 to n of a subscript K close parentheses squared equals](data:image/png;base64,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)
If
for
then ![open parentheses sum from K equals 1 to n of a subscript K close parentheses squared equals](data:image/png;base64,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)
The number of partial fractions of
is
The number of partial fractions of
is
The number of partial fractions of
is
The number of partial fractions of
is
Coefficient of
is
is
Coefficient of
is
is
Coefficient of
is ![1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus](data:image/png;base64,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)
is
Coefficient of
is ![1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus](data:image/png;base64,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)
is
If a,b,c,d are consective binomial coefficients of
then
are is
If a,b,c,d are consective binomial coefficients of
then
are is
No of terms whose value depend on 'x' is is
No of terms whose value depend on 'x' is is
If represent the terms is
then
is
If represent the terms is
then
is
Let ' O be the origin and A be a point on the curve
then locus of the midpoint of OA is
Let ' O be the origin and A be a point on the curve
then locus of the midpoint of OA is
Which one is absent in free state during origin of life ?
Which one is absent in free state during origin of life ?
Two different packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is-
Two different packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is-
In how many ways can 6 prizes be distributed equally among 3 persons?
In combinatorics, the rule of sum or addition principle states that it is the idea that if the complete A ways of doing something and B ways of doing something and B ways of doing something, we cannot do at the same time, then there are (A + B) ways of choosing one of the actions. In this question, there is a possibility that the student might miss considering all the cases. They may forget to consider case 2 and get a different answer.
In how many ways can 6 prizes be distributed equally among 3 persons?
In combinatorics, the rule of sum or addition principle states that it is the idea that if the complete A ways of doing something and B ways of doing something and B ways of doing something, we cannot do at the same time, then there are (A + B) ways of choosing one of the actions. In this question, there is a possibility that the student might miss considering all the cases. They may forget to consider case 2 and get a different answer.