Question

value of sin square 75 - sin square 15​

Answer 1

Step-by-step explanation:

sin²75-sin²15

=sin²(90-15)-sin²15

=cos²15-sin²15

=cos2.15

=cos30

=√3/2

Answer 2

sin² 75° - sin² 15° = √3/2

Given :

The expression sin² 75° - sin² 15°

To find :

The value of the expression

Formula :

cos 2A = cos² A - sin² A

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

sin² 75° - sin² 15°

Step 2 of 2 :

Find the value of the expression

sin² 75° - sin² 15°

= sin² ( 90° - 15° ) - sin² 15°

= cos² 15° - sin² 15°

= cos ( 2 × 15° )

= cos 30°

= √3/2

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