Trigonometric identities.1)! Simplify 1 - cos2 0.

2)! Simplify tan1 - sec2 0.

3)! Simplify cosec2,0 - cot2 0.

4)! Simplify 2sec2 0 - 2.

5)! Simplify y i + .tanz9 .

6)! Simplify cosec2 (1 - sin2 0).v '

7)! Simplify (sec1 - l)cot2 .

8)! Simplify y i + cot2 6 \/l - cos26

9)! Simplify y i + tan29 V 1 ~ sin26 .

10)! Simplify sin cosec2 0 - sin 0 cot2 .

II.

12-.

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Prove that 2 - sec1 = 1 - tan2 0.

Prove that 2cos2 0 + 1 = 3 - 2sin2 .

Prove that sin2 + tan2 = sec2 - cos2 0.

Prove that cos2 + cot2 = cosec2 - sin2 .

Prove that sin2 - cos2 = 1 - 2cos2 . '

Prove that tan1 cos 0 + cos = sec .

Prove that cot2 sin 0 + sin = cosec .

Prove that tan + cot = sec cosec .

T, , , cot 9 cosecQ _Prove that - = cos .1 * cot:6

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21

Prove that

Prove that

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