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The value of cos[1/2cos^(-1)(cos(-(14pi)...

The value of `cos[1/2cos^(-1)(cos(-(14pi)/5))]\ ` is/are a.`cos(-(7pi)/5)` b. `s in(pi/(10))` c.`cos((2pi)/5)\ ` d. `-cos((3pi)/5)`

A

`cos (-(7pi)/(2))`

B

`sin(pi/10)`

C

`cos((2pi)/(5))`

D

`-cos ((3pi)/(5))`

Text Solution

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The correct Answer is:
B, C, D
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The value of cos[(1)/(2)cos^(-1)(cos(-(14 pi)/(5)))] is/are a.cos (-(7 pi)/(5)) b.sin((pi)/(10))ccos((2 pi)/(5))d.-cos((3 pi)/(5))

Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14pi)/5)]? cos(-(7pi)/5) (b) sin(pi/(10)) cos((2pi)/5) (d) -cos((3pi)/5)

Knowledge Check

  • "cos"^(-1)("cos"((7pi)/(5)))=

    A
    `(3pi)/(5)`
    B
    `(2pi)/(5)`
    C
    `(-7pi)/(5)`
    D
    `(7pi)/(5)`

  • The value of cos^(2)((3pi)/(5))+cos^(2)((4pi)/(5)) is equal to

    A
    `3//4`
    B
    `5//4`
    C
    `5//2`
    D
    `4//5`

  • The value of cos^(-1)("cos"(5pi)/3)+sin^(-1)("cos"(5pi)/3) is:

    A
    `(10pi)/3`
    B
    0
    C
    `pi/2`
    D
    `(5pi)/3`

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