5.2 Proving Trig. Identities 1. sin x - csc x =

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5.2
Proving Trig. Identities
1. sin x - csc x = -cos x cot x
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2.
sin x
= 1 - cos x
1 + cos x
sin x
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3.
sec2x - 1
sec2x
= sin2x
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4.
sec x + 1
tan x
=
sin x
1 - cos x
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5.
tan x +
cot x = sec x csc x
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6.
tan2x - sin2x = tan2x sin2 x
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7.
cos2x - sin2 x = 1 - 2 sin2 x
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8.
tan x + cot y
tan x cot y
= tan y + cot x
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9.
1 + sin x
1 - sin x
=
1 + sin x
cos x
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10.
1 - 3cos x - 4 cos2 x
sin2x
=
1 - 4cos x
1 - cos x