Question

Prove that 2 sin 75° cos 15° = 1/2 (2+√3)​

Answer 1

Step-by-step explanation:

LHS.=

2sin 75 degree= 2× sin(90-15)= 2×cos15 degree

then according to question - 2cos 15 degree × sin 15 degree = 2cos 30 degree

(formula-- cos2a= 2cosa sina)

then

cos 30degree= 1/2

=RHS

Hence, proven that :2 sin 75°cos15°1/2(2+√3)

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Answer 2

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