Find the value of the following :cos−1(1312)+sin−1(53)

cos−1(1312)+sin−1(53)=sin−1(6556)cos−1(1312)=sin−1(135)sin−1(135)+sin−1(53)==sin−1[135×54+53×1312]=sin−1(6520+6536)=sin−1(6556)

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Find the value of the following : ^{-1} ( {12}{13} ) + ^{-1}

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Find the value of the following :
$cos^{- 1} (\frac{12}{13}) + sin^{- 1} (\frac{3}{5})$

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Camila Discussed

Find the value of the following :

cos^{- 1} (\frac{12}{13}) + sin^{- 1} (\frac{3}{5})

15 mins ago

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15 mins ago

cos^{- 1} (\frac{12}{13}) + sin^{- 1} (\frac{3}{5}) = sin^{- 1} (\frac{56}{65})

cos^{- 1} (\frac{12}{13}) = sin^{- 1} (\frac{5}{13})

sin^{- 1} (\frac{5}{13}) + sin^{- 1} (\frac{3}{5}) =

= sin^{- 1} [\frac{5}{13} \times \frac{4}{5} + \frac{3}{5} \times \frac{12}{13}] = sin^{- 1} (\frac{20}{65} + \frac{36}{65})

= sin^{- 1} (\frac{56}{65})

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Question Text	Find the value of the following : $cos^{- 1} (\frac{12}{13}) + sin^{- 1} (\frac{3}{5})$
Answer Type	Text solution:1
Upvotes	150