Verifying an identity

Verifying an identity - 5.2: Verifying an Identity y = 2csc...

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Unformatted text preview: 5.2: Verifying an Identity y = 2csc x sin θ 1 + cos θ + =? 1 + cos θ sin θ y 4 3 2 sin θ sin θ 1 + cos θ 1 + cos θ ⋅ + ⋅ 1 + cos θ sin θ sin θ 1 + cos θ 1 x π /2 -1 sin 2 θ (1 + cos θ)2 + (1 + cos θ)(sin θ) (sin θ)(1 + cos θ) -2 -3 -4 2 sin θ + (1 + cos θ) (1 + cos θ)(sin θ) 2 sin 2 θ + 1 + 2cos θ + cos 2 θ (1 + cos θ)(sin θ) (sin 2 θ + cos 2 θ) + 1 + 2 cos θ (1 + cos θ)(sin θ ) 1 + 1 + 2cos θ (1 + cos θ)(sin θ ) 2 + 2cos θ (1 + cos θ)(sin θ) 2(1 + cos θ) (1 + cos θ)(sin θ) 2 sin θ 2 csc θ π 3π/2 2π ...
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