Question

cosx=cos 60' cos 30" + sin 60'sin 30​

Answer 1

Answer:

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Explanation:

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)=21×23+23×21

• Trigonometric Values :-

\begin{gathered} \cos(60) = \frac{1}{2} \\ \\ \cos(30) = \frac{ \sqrt{3} }{2} \end{gathered}cos(60)=21cos(30)=23

\sin(30) = \frac{1}{2}sin(30)=21

\cos(x) = \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4}cos(x)=43+43

\cos(x) = \frac{2 \sqrt{3} }{4}cos(x)=423

\cos(x) = \frac{ \sqrt{3} }{2}cos(x)=23

x = 30x=30