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Write the value of cos^2(1/2cos^(-1)3/5)...

Write the value of `cos^2(1/2cos^(-1)3/5)`

Text Solution

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Given,
`cos^2(1/2​cos^(−1)(3/5)​)`
Let `cos^(−1)(3/5)​=2theta`
`=>cos^2theta=3/5​`
`=>1−2sin^2theta=3/5​`
`=>−2sin^2theta=3/5​−1`
`=>−2sin^2theta=(3−5​)/5`
`=>−2sin^2theta=−2/5​`
...
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