Question

If cos x = cos60° cos30°+sin60° sin30°, then find the value of x.​

Answer 1

Answer:

√3/2

Step-by-step explanation:

cos60°•cos30° + sin60°•sin30°

> (1/2×√3/2) + (√3/2×1/2)

> √3/4 +√3/4

> (2√3)/4

> √3/2

Answer 2

Answer:

Hey!

Given Condition :-

cosx = cos60 cos30 + sin60 sin30

$\cos(x ) = \frac{1}{2} \times \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2} \times \frac{1}{2}$

• Trigonometric Values :-

$\cos(60) = \frac{1}{2}$

$\cos(30) = \frac{ \sqrt{3} }{2}$

$\sin(30) = \frac{1}{2}$

$\cos(x) = \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4}$

$\cos(x) = \frac{ \sqrt[2]{3} }{4}$

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

$x = 30$

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