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''cos theta=(3)/(2) for some angle theta...

`''cos theta=(3)/(2)` for some angle `theta`''.

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Knowledge Check

  • The values of sintheta_(1), cos^(2)theta_(2) and tan theta_(3) are given as .^(1)//_(2), -.^(1)//_(2) and 3 (not in order), for some angles theta_(1), theta_(2) and theta_(3) . Choose incorrect statement.A

    A
    The value of `tan theta_(3)` could be `-0.5`
    B
    The value of `sintheta_(1)` can not be `3`.
    C
    The value of `cos^(2)theta_(2)` can't be `-0.5`
    D
    The value of `cos^(2)theta_(2)` could be `3`.

  • If sin 3 theta = cos (theta - 2^(@)) where 3 theta and (theta - 2^(@)) are acute angles, what is the value of theta ?

    A
    `22^(@)`
    B
    `23^(@)`
    C
    `24^(@)`
    D
    `25^(@)`

  • If theta is an acute angle and (cos^(2) theta)/(cot^(2) theta- cos^(2) theta)=3 , then value of theta is

    A
    `(pi)/(4)`
    B
    `(pi)/(3)`
    C
    `(pi)/(2)`
    D
    `(pi)/(6)`

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    If sin 3 theta = cos (theta - 2 ^(@)) where 3 theta and (theta - 2 ^(@)) are acute angles, what is the value of theta ?

    Prove that: cos theta(cos theta)/(2)-cos3 theta(cos(9 theta))/(2)=sin7 theta s in8 theta

    If (sin theta+cos theta)/(sin theta-cos theta)=3 and theta is an acute angle, then the value of (3sin theta+4cos theta)/(8cos theta-3sin theta) is: यदि (sin theta+cos theta)/(sin theta-cos theta)=3 तो (3sin theta+4cos theta)/(8cos theta-3sin theta) का मान ज्ञात करें ।

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    If sin3theta=cos(theta-6^(@))," where "3theta and (theta-6^(@)) are acute angle then the value of theta is _____________.

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