If A=45 degree,verify that sin2 A=2sin A * cos A
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Answered by
1
Answer:
Step-by-step explanation:
sin 2*( 45° ) = 2* sin45°*cos45°
sin 90°= 2*1/√2* 1/√2
1= 2/2
1=1
LHS=RHS
Answered by
4
Given, A=45°
Now LHS= sin2A = sin 90° = 1 (it can also be done by using the identity sin2A = 2sinAcosA.)
According to the identity,
Now, RHS= 2sinA. cos A = 2sin 45°. cos45°
= 2× 1/√2 × 1/√2
= 2×1/2
=1
LHS=RHS
HENCE PROVED.
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