Question

evaluate the following :
sin60°cos30 °+ sin30°cos 60°.

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Answer 1

Answer:

answer is 180°

Step-by-step explanation:

SIN = 60°

COS = 30° + SIN = 30°

COS = 60°

ANSWER IS 180°

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Answer 2

Question :

evaluate the following : sin60°cos30 °+ sin30°cos 60°

Given Data :

$\sf \small \bullet \: sin \: 60 \degree = \frac{ \sqrt{3} }{2}$

$\sf \small\bullet \: cos \: 30 \degree = \frac{ \sqrt{3} }{2}$

$\sf \small\bullet \: sin \: 30 \degree = \frac{1}{2}$

$\sf \small\bullet \: cos \: 60 \degree = \frac{1}{2}$

Solution :

$\sf \small \: sin60°cos30 °+ sin30°cos 60°$

$\sf \rightarrow \small \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2}$

$\sf \rightarrow {( \frac{ \sqrt{3} }{2} })^{2} + (\frac{1}{2} )^{2}$

$\rightarrow \frac{3}{4} + \frac{1}{4}$

$\rightarrow \frac{4}{4}$

$\sf \small \rightarrow1$

• So the answer is 1