Find the value of sin-1sin3-5-

sin ^ 1( sin #10;3π5) #10; #10; = sin ^ 1( #10;sin( π #160; 2π5 #10;)) #10; #10; = sin ^ 1( #10;sin( 2π5)) #10; #1 ...

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Basic Inverse Trigonometric Functions

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Question

Find the value of ${sin}^{- 1} (sin \frac{3 π}{5})$ .

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Solution

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{sin}^{- 1} (sin \frac{3 π}{5})

Find the value of $\frac{c o s (\frac{5 π}{4}) c o s (\frac{- π}{4})}{s i n (\frac{3 π}{4}) c o s (\frac{3 π}{4})}$

x = 4 {log}_{5} 2 + {log}_{5} sin \frac{π}{5} + {log}_{5} sin \frac{2 π}{5} + {log}_{5} sin \frac{3 π}{5} + {log}_{5} sin \frac{4 π}{5}

1

sin 18^{o} = \frac{1}{4} (\sqrt{5} - 1)

cos 36^{o} = \frac{1}{4} (\sqrt{5} + 1)

{sin}^{- 1} (cos \frac{33 π}{5})

sin \frac{π}{14} . sin \frac{3 π}{14} . sin \frac{5 π}{14} . sin \frac{7 π}{14} sin \frac{9 π}{14} sin \frac{11 π}{14} . sin \frac{13 π}{14}

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