Question

sin30°cos 60° +cos - 30°sin60°​

Answer 1

Answer:

1.75 is the answer

Step-by-step explanation:

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Answer 2

Given :

sin30° cos60° + cos30° sin60°

Solution :

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

$\sin(60) = \frac{ \sqrt{3} }{2}$

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

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

$\sin(30) \cos(60) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

$\cos(30) \sin(60) = \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} = \frac{3}{4}$

$sin30° cos60° + cos30° sin60° = \frac{1}{4} + \frac{3}{4} = \frac{4}{4}$

$= 1$

1 is equal to sin90°.

Hence sin30° cos60° + cos30° sin60° = 1 (sin90°)

Hope it helps you