Prove each of these identities a tanA cot A 2 cosec 2A b 1 tan 2 A cos 2Asec 2 A c tan2A tanA tan Asec 2A d (cosA 3sinA) 2 5 4 cos 2A 3sin2A e cot 2A tanA 1 2 cosecA secA f cosec 2A cot 2A cot A g sec 2 A cosec 2 A 4 cosec 2 2A h sin(A B) sin(A B) sin 2 A sin 2 B ...

Prove each of these identities. a. tanA + cot A 2 cosec 2A b. 1

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Prove each of these identities.
a. tanA + cot A Ξ 2 cosec 2A

b. 1 − tan² A Ξ cos 2Asec²A

c. tan2A − tanA Ξ tan Asec 2A

d. (cosA + 3sinA)² Ξ 5 − 4 cos 2A + 3sin2A

e. cot 2A + tanA Ξ 1/2 cosecA secA

f. cosec 2A + cot 2A Ξ cot A

g. sec²A cosec²A Ξ 4 cosec²2A

h. sin(A + B) sin(A − B) Ξ sin² A - sin² B

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Prove each of these identities a tan A cot A 2 cosec 2A Solution We can start with the lefthand side of the identity and try to manipulate it to arrive at the righthand side tan A cot A sin A cos A co...View the full answer

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