Question

cos x = cos 60° cos 30°+ sin 60° sin 30°​

Answer 1

$\small \purple {\sf{quєѕtíσn !}}$

cos x = cos 60° cos 30°+ sin 60° sin 30°

$\small \blue {\sf{αnѕwєr :- }}$

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}cos(x)=

2

1

×

2

3

+

2

3

×

2

1

• Trigonometric Values :-

\begin{gathered}\cos(60) = \frac{1}{2} \\ \\ \cos(30) = \frac{ \sqrt{3} }{2}\end{gathered}

cos(60)=

2

1

cos(30)=

2

3

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

2

1

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

4

3

+

4

3

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

4

2

3

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

2

3

x = 30x=30

Answer 2

Step-by-step explanation:

hi

here is your answer

i have explained in the pic itself

hope this will help you