Cos - cos-1 -1-7 -sin-1 -1-7 -

Cos{ cos^ 1 ( 1/7 )+sin^ 1 ( 1/7 ) }=cosπ/2=0 ...

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Composition of Trigonometric Functions and Inverse Trigonometric Functions

cos [ cos-1 -...

Question

$c o s [c o s^{- 1} (\frac{- 1}{7}) + s i n^{- 1} (\frac{- 1}{7})] =$

\frac{- 1}{3}

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0

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\frac{1}{3}

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\frac{4}{9}

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c o s [c o s^{- 1} (\frac{- 1}{7}) + s i n^{- 1} (\frac{- 1}{7})] =

cos [{cos}^{- 1} (\frac{- 1}{7}) + {sin}^{- 1} (\frac{- 1}{7})] =

Given cot=7/8 then evaluate (1+sin)(1-sin)/(1+cos)(1-cos)

And (1+sin)/cos

{sin}^{- 1} (sin 5) + {cos}^{- 1} (cos 7) - {tan}^{- 1} (tan 5) =

c o t θ = \frac{7}{8}

\frac{(1 + s i n θ) (1 - s i n θ)}{(1 + c o s θ) (1 - c o s θ)}

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