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# Applying Trigonometric Identities (Grades 11-12)

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## Applying Trigonometric Identities

1.
$1-sin^2x=cot^2x$
1. True
2. False
2.
Simplify $cot x sec x$.
1. $cos x/ sin^2 x$
2. $sin x$
3. $csc x$
4. $sec ^2 x$
3.
Simplify $sin⁡ x \ csc⁡ x$ .
1. $sin ^2 x$
2. $-1$
3. $tan x$
4. $1$
4.
Which expression is equivalent to $tan x - (sec x/ sin x)?$
1. $-cot x$
2. $cot x$
3. $tan x - cot x$
4. $tan x - sec^2 x$
5.
Simplify $(1-cos^2 x)/tan^2 x$ .
1. $-cos^2 x$
2. $sec^2 x$
3. $cos^2 x$
4. $sin^2 x$
6.
Which expression is not equivalent to 1?
1. $sin^2 x + cot^2 x sin^2 x$
2. $sin^2 x/(1- cos x) - cos x$
3. $sec^2 x + tan^2 x$
4. $(cot^2 x sin^2 x)/ cos^2 x$
7.
Simplify $-5(cot^2 x - csc^2 x)$.
1. $5$
2. $-5$
3. $-5 csc^2 x$
4. $5 sec ^2 x$
8.
Which expression is equivalent to $(sin^2 x+ cos^2 x)/ tan^2 x ?$
1. $cot^2 x$
2. $cos ^2 x + cot ^2 x$
3. $cos ^2 x + cos ^ 4 x$
4. $csc ^2 x$
9.
Which expression is equivalent to $(1 + sin^2 x sec^2 x)/sec^2 x - cos^2 x$?
1. $1$
2. $csc^2x$
3. $sin^2x$
4. $2cos^2x$
10.
Express $2 cos4x sin2x$ as an algebraic sum of sines or cosines.
1. $cos6x - sin2x$
2. $sin 6x - sin x$
3. $sin 6x - sin2x$
4. $sin 6x - sin3x$
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