Question

cosx°=cos60°.cos30°+sin60°.sin30° solve this ​

Answer 1

Answer:

cos60°.cos30°+sin60°.sin30°

= cos(60°-30°)

=cos30°

here x=30°

Step-by-step explanation:

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Answer 2

Answer:

x = 30°

Step-by-step explanation:

cosx°=cos60°.cos30°+sin60°.sin30°

$\cos60 = \frac{1}{2} \\ \\ \cos30 = \frac{ \sqrt{3} }{2} \\ \\ \sin60 = \frac{ \sqrt{3} }{2} \\ \\ \sin30 = \frac{1}{2}$

Therefore, cos60 × cos30 + sin60 × sin30

$= 2 \times ( \frac{ \sqrt{3} }{4} ) = \frac{ \sqrt{3} }{2} \\ \\ \cos \: x = \frac{ \sqrt{3} }{2}$

Thus, x = 30