Prove each of these identities a sin x tan x cos x b cos x sin x tan x 1 sin 2 x c 1 sin 2 x cos x cos x d e (sin x cos x) 2 1 2 sin x cos x f tan 2 x sin 2 x tan 2 x sin 2 x cos' x sin x cos a sin x COS x Cos x sin x...

ANSWER a sin x tan x cos x Using the identity tan x sin x cos x we can rewrite the lefthand side of the equation as sin x sin x cos x cos x Simplifying the lefthand side by canceling out the sin x ter ...

Prove each of these identities. a. sin x/ tan x = cos x b. cos x sin

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Prove each of these identities.

a. sin x/ tan x = cos x

b. cos x sin x/ tan x = 1 – sin² x

c. 1 – sin² x/cos x = cos x

e. (sin x + cos x)² = 1 + 2 sin x cos x

f. tan² x – sin² x = tan² x sin² x

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Aug 27, 2021 12:59 AM

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Prove each of these identities. a. sin x/ tan x = cos x b. cos x sin

Question:

cos' x – sin? x cos? a + sin x = COS x Cos x + sin x

Step by Step Answer:

ANSWER a sin x tan x cos x Using the identity tan x sin x cos x we can rewrite the lefthand side of the equation as sin x sin x cos x cos x Simplifying the lefthand side by canceling out the sin x ter...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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