Question

How do you prove this trigonometric expression show your work

Answer 1

Answer:

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Answer 2

Answer:

take L.H.S

= cos^2θ-sin^2θ (1)

we know that from trig identity sin^2θ+cos^2θ=1

so

cos^2θ=1-sin^2θ value put in (1)

= 1-sin^2θ-sin^2θ

= 1-2sin^2θ