Prove the following: (i) "sin" 10^(@)...

Prove the following:
(i) `"sin" 10^(@) sin 50^(@) sin 70^(@)=(1)/(8)`
(ii) `"sin" 10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=(1)/(16)`

Answer

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sin 180^(@) sin 70^(@) + sin 16^(@) sin 36^(@)=

`sin 54^(@) sin 34^(@)`

`sin 54^(@) cos 34^(@)`

`cos 54^(@) sin 34^(@)`

`cos 54^(@) cos 34^(@)`

The value of sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) is

`(1)/(36)`

`(1)/(32)`

`(1)/(16)`

`(1)/(18)`

Prove the following:
(i) `"sin" 10^(@) sin 50^(@) sin 70^(@)=(1)/(8)`
(ii) `"sin" 10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=(1)/(16)`

Answer

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Knowledge Check

sin 180^(@) sin 70^(@) + sin 16^(@) sin 36^(@)=

The value of sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) is

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MODERN PUBLICATION-TRIGONOMETRY-Exercise 3( f)Long Answer type Question-I

Prove the following: (i) `"sin" 10^(@) sin 50^(@) sin 70^(@)=(1)/(8)` (ii) `"sin" 10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=(1)/(16)`

Answer

Topper's Solved these Questions

Similar Questions

Knowledge Check

sin 180^(@) sin 70^(@) + sin 16^(@) sin 36^(@)=

The value of sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) is

Similar Questions

MODERN PUBLICATION-TRIGONOMETRY-Exercise 3( f)Long Answer type Question-I

Prove the following:
(i) `"sin" 10^(@) sin 50^(@) sin 70^(@)=(1)/(8)`
(ii) `"sin" 10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=(1)/(16)`