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Simplify (sin75^(@)-sin15^(@))/(cos75^(@...

Simplify `(sin75^(@)-sin15^(@))/(cos75^(@)+cos15^(@))`

A

`(2)/(sqrt3)`

B

none of these

C

`(1)/(sqrt3)`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
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sin75^(@)-sin15^(@)=cos105^(@)+cos15^(@)

Find the value of (sin75^(@)+sin15^(@))/(cos75^(@)+cos15^(@)) :

(sin75^(@) - sin 15^(@))/(cos 75^(@) + cos 15^(@)) A) -sqrt3 B) sqrt3 C) (1)/(sqrt3) D) (1)/(sqrt3)

A.78^(@)-sin18^(@)+cos132^(@),B=cos12^(@)+cos84^(@)+cos132^(@)+cos156^(@) and C=(sin75^(@)+sin15^(@))/(cos75^(@)+cos15^(@)) then arrang in the ascending order

sin15^(@)+cos105^(@)=?

cos15^(@)-cos75^(@)=

4sin75^@-3cos15^@=

Solve that : (sin75^(@)+sin15^(@))/(sin75^(@)-sin15^(@))=sqrt(3)

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