Question

$sin(60) \cos( 30) + \sin(30 \cos(60)$
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Answer 1

Answer:

sin(60) cos(30) + sin(30) cos(60)

Note:

sin (A + B) = sin A cos B + cos A sin B

Therefore, sin(60) cos(30) + sin(30) cos(60)

=> sin (60 + 30) = sin 90⁰ = 1

Answer 2

Answer:

1

Step-by-step explanation:

$\sin(60) \cos(30) + \cos(60) \sin(30) \\ \\ \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{ 1 }{2} \times\frac{ 1}{2} \\ \\ \frac{3}{4} + \frac{1}{4} \\ \\ \frac{4}{4} \\ \\ 1$