Math, asked by sarthak200652, 1 month ago

sin (60°+theta) + sin(60°- theta)​

Answers

Answered by harshita1663
0

Answer:

√3 cos theta

Step-by-step explanation:

sin(60+theta) = sin60•cos theta + sin theta•cos60

=√3/2cos theta + 1/2sin theta

= (√3cos theta + sin theta)/2

sin(60-theta) = (√3cos theta - sin theta)/2

ACQ,

= sin(60+theta) + sin(60-theta)

=(3cos theta + sin theta)/2 + (3cos theta - sin theta)/2

=( 3cos theta + sin theta + 3cos theta -sin theta)/2

= 23cos theta / 2

= 3 cos theta

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