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# Applying Trigonometric Identities - Practice #2 (Grades 11-12)

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## Applying Trigonometric Identities - Practice #2

1.
$cos^2x - 1 = -sin^2x$
1. True
2. False
2.
Simplify $tan x cos x$.
1. $cos^2 x/ sin x$
2. $cot x$
3. $sin x$
4. $1 - sec ^2 x$
3.
Which expression is equivalent to $csc x(csc x - sin x)$?
1. $sec ^2 x - 1$
2. $cot ^2 x$
3. $tan ^2 x$
4. $1$
4.
Simplify $-4(sec^2 x - tan^2 x).$
1. $-4tan^2 x$
2. $4tan^2 x$
3. $4$
4. $-4$
5.
Simplify. $(sec x - 1)/tan^2 x$
1. $cos x/(cos x + 1)$
2. $sin x/ (sin x + 1)$
3. $sin^2 /(sin x + 1)$
4. $1$
6.
Simplify the following.

$(sec^2 theta-1)/sin^2theta$
1. $sin theta$
2. $tan^2 theta$
3. $sec^2 theta$
4. none of the above
7.
Simplify $(1-csc^2 x)/cot^2 x.$
1. $-1$
2. $1$
3. $tan^2 x$
4. $1/sin^4 x$
8.
Which expression is equivalent to 1?
1. $(1 + sin x)/sin x$
2. $1/sec^2 x +1/csc^2x$
3. $tan^2x - sec^2 x$
4. $(cot x csc x)/sec x$
9.
Which expression is equivalent to $sin x/(1 + cos x) + sin x/(1 - cos x)$?
1. $(2sinx)/(1+ cos^2 x)$
2. $2 sin x$
3. $2 csc x$
4. $-2 csc x$
10.
Which expression is equivalent to $(sin2theta)/(1-cos2theta)$ ?
1. $sin theta$
2. $cot theta$
3. $csc theta$
4. $cos theta$
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