Explained: "cossin-1513= A)1213 B)-1213 C)512 D)None of these"

Lilia Mccarthy

Answered question

2023-03-18

\cos (\sin^{- 1} (\frac{5}{13})) =

\frac{12}{13}

- \frac{12}{13}

\frac{5}{12}

D)None of these

pyroleo7zjv

Beginner2023-03-19Added 5 answers

The right option is A

\frac{12}{13}

Explanation:
We have,

\cos (\sin^{- 1} (\frac{5}{13}))

= \cos (\cos^{- 1} 1 - {(\frac{5}{13})}^{2})

;

(∵ s i n^{- 1} x = c o s^{- 1} 1 - x^{2})

= \cos (\cos^{- 1} (1 - \frac{25}{169}))

= \cos (\cos^{- 1} (\frac{144}{169}))

= \cos (\cos^{- 1} (\frac{12}{13}))

= \frac{12}{13}

Therefore, Option ‘A’ is right.

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