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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