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If : cos^(2)theta-sin^(2)theta=tan^(2)al...

If : `cos^(2)theta-sin^(2)theta=tan^(2)alpha and costheta*cosalpha=cosbeta, "then" : beta=`

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(5)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If cos^(2)theta-sin^(2)theta=tan^(2)alpha, "then" : sqrt2 * cos theta * cos alpha=.... A) sin theta * sin alpha B)1 C) tan^(2)theta D)none of these

    A
    `sin theta * sin alpha`
    B
    1
    C
    `tan^(2)theta`
    D
    none of these

  • cos^(2)theta+cos^(2)(alpha+theta)-2cosalpha.costheta.cos(theta+alpha)=?

    A
    `sin^(2)alpha`
    B
    `cos^(2)alpha`
    C
    `tan^(2)alpha`
    D
    `sec^(2)alpha`

  • If cos theta = ( cos alpha - cos beta )/( 1-cos alpha cos beta ) , then tan "" ( theta )/( 2) =

    A
    `+- tan ( alpha //2) tan ( beta //2)`
    B
    `+- tan ( alpha // 2 ) cot ( beta //2)`
    C
    `+- tan ( beta //2) cot ( alpha //2)`
    D
    none

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