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IRISSAK [1]
2 years ago
5

Plzz help find value of following : 2sin75°.cos15°​

Mathematics
1 answer:
polet [3.4K]2 years ago
6 0

Answer:

\frac{2+\sqrt{3} }{2}

Step-by-step explanation:

Using the product to sum formula

sinxcosy = \frac{1}{2} [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

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

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

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