Let f(x)=ecos−1sin(x+3π), then f(98π) equals

f(x)=ecos−1sin(x+3π)∴f(98π)f(x)=ecos−1sin(3π+98π)=ecos−1sin(911π)=ecos−1sin(1822π)=ecos−1sin(189π+1813π)=ecos−1sin(2π+1813π )=ecos−1cos(1813π)=e1813π

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Let f(x) =e^{^{-1} ( x+{ }{3} )}, then f ( {8 }{9} ) equal

Question

Let $f (x) = e^{cos^{- 1} sin (x + \frac{π}{3})}$ , then $f (\frac{8 π}{9})$ equals

e^{\frac{7 π}{12}}

e^{\frac{13 π}{18}}

e^{\frac{5 π}{18}}

e^{\frac{π}{12}}

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William Discussed

Let

f (x) = e^{cos^{- 1} sin (x + \frac{π}{3})}

, then

f (\frac{8 π}{9})

equals

6 mins ago

Discuss this question LIVE

6 mins ago

f (x) = e^{c o s^{- 1} s i n (x + \frac{π}{3})}

∴ f (\frac{8 π}{9})

f (x) = e^{c o s^{- 1} s i n (\frac{π}{3} + \frac{8 π}{9})}

= e^{c o s^{- 1} s i n (\frac{11 π}{9})}

= e^{c o s^{- 1} s i n (\frac{22 π}{18})}

= e^{c o s^{- 1} s i n (\frac{9 π}{18} + \frac{13 π}{18})}

= e^{c o s^{- 1} s i n (\frac{π}{2} + \frac{13 π}{18})}

= e^{c o s^{- 1} c o s (\frac{13 π}{18})}

= e^{\frac{13 π}{18}}

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Question Text	Let $f (x) = e^{cos^{- 1} sin (x + \frac{π}{3})}$ , then $f (\frac{8 π}{9})$ equals
Answer Type	Text solution:1
Upvotes	150