Question

Is it right to say cos(60°+30°)=cos60° cos30°+sin60° sin30°

Answer 1

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Answer 2

Answer:

No

Step-by-step explanation:

$proof$

$l.h.s$

=. cos(60°+30°)=cos90°=0

$now \\ \: \: \: \: \: \: \: \: \: \: \: r .h.s$

cos60° cos30°+sin60° sin30°

$= \frac{1}{2} \times \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2} \times \frac{1}{2}$

$= \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4}$

$= \frac{2 \sqrt{3} }{4}$

$= \frac{ \sqrt{3} }{2}$