Question

Use trig identites to transform the left side of equation into the right.
(1+cos theta)(1-cos theta)= sin^2theta

Answer 1

1+cos theta =2cos^2 theta/2

Answer 2

multiply on the left, and get
\[1-\cos^2(\theta)\] then it should be easy enough

Answer 3

1-cos theta=2sin^2 theta/2

Answer 4

is it clear that
\[1-\cos^2(\theta)=\sin^2(\theta)\]?

Answer 5

ooohh. yea. I see.

Answer 6

kk good

Answer 7

thank you(:

Answer 8

yw

Answer 9

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Answer 10

use identity ---> a^2 - b^2 for lhs
then prove using cos2 + sin2 = 1

Answer 11

(1+cosθ)(1−cosθ)=(1−cosθ+cosθ−cos2θ)

=
sin2theta