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If sintheta=sinalpha, then...

If `sintheta=sinalpha`, then

A

`theta = n pi pm alpha`

B

`theta = 2n pi + (-1)^n alpha`

C

`theta = n pi + (-1)^nalpha`

D

`theta = (2n + 1) pi + alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If sin x^(@)=sinalpha , "then " alpha " is"

    A
    `(180)/(pi)`
    B
    `(pi)/(270)`
    C
    `(270)/(pi)`
    D
    `(pi)/(180)`

  • If sintheta+costheta=x then sintheta-costheta=?

    A
    `pmsqrt(2-x^(2))`
    B
    `pmsqrt(2+x^(2))`
    C
    `pmsqrt(4-x^(2))`
    D
    `pmsqrt(4+x^(2))`

  • The value of the determinant |{:(cos(theta+alpha),-sin(theta+alpha),cos2alpha),(sintheta,costheta,sinalpha),(-costheta,sintheta,lambdacosalpha):}| is

    A
    independent of `theta` for all `lambda in R`
    B
    independent of `theta` and `alpha` when `lambda=1`
    C
    independent of `theta` and `alpha` when `lambda=-1`
    D
    independent of `lambda` for all `theta`

    • Similar Questions

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    If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then show that sinalpha+cosalpha=sqrt(2)costheta .

    costheta-sintheta=cosalpha-sinalpha

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    If (i) A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that AprimeA" "=" "I . (ii) A=[[sinalpha,cosalpha],[-cosalpha,sinalpha]] , then verify that AprimeA" "=" "I .

    If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) , then sinalpha+cosalphaandsinalpha-cosalpha are equal to

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