Prove each of these identities. a. tanA + cot A 2 cosec 2A b. 1
Question:
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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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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