Lesson E5
E5 Trigonometric identities Quiz: AQA Maths, Unit 5
20 questions
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Lesson E5, Trigonometric identities: 20 multiple choice questions for the AQA Maths (7357), Unit 5: Trigonometry, written with Revision Ninja.
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The 20 questions
-
Which expression is equal to tan theta?
- 1 / sin theta
- cos theta / sin theta
- sin theta / cos theta
- sin theta cos theta
-
Which identity is correct?
- sec^2 theta = 1 - tan^2 theta
- sec^2 theta = tan^2 theta
- sec^2 theta = 1 + cot^2 theta
- sec^2 theta = 1 + tan^2 theta
-
Which is the Pythagorean identity involving cosec?
- cosec^2 theta = 1 + cot^2 theta
- cosec^2 theta = 1 - cot^2 theta
- cosec theta = 1 + cot theta
- cosec^2 theta = cot^2 theta - 1
-
Simplify sin^2 x + cos^2 x.
- tan x
- 2
- 1
- 0
-
Which expression is equivalent to 1 - cos^2 theta?
- sin^2 theta
- tan^2 theta
- cos^2 theta
- -sin^2 theta
-
Simplify cot theta x sin theta.
- cos theta
- sin theta
- 1/cos theta
- tan theta
-
Simplify sec theta x cos theta.
- 0
- tan theta
- sin theta
- 1
-
Given sin theta = 3/5 with theta acute, find cos theta.
- 4/5
- 5/3
- 5/4
- 3/4
-
Given cos theta = 5/13 with theta acute, find tan theta.
- 12/5
- 5/12
- 13/12
- 12/13
-
Simplify sec^2 theta - tan^2 theta.
- tan^2 theta
- sec^2 theta
- 1
- 2
-
Simplify (1 - cos^2 x)/sin x.
- cos x
- sin^2 x
- sin x
- tan x
-
Simplify (sec^2 theta - 1) cos^2 theta.
- 1
- cos^2 theta
- sin^2 theta
- tan^2 theta
-
Simplify (1 + tan^2 x)/(1 + cot^2 x).
- cot^2 x
- tan^2 x
- sec^2 x
- 1
-
Given sin theta = 2/3 with cos theta negative, find cos theta.
- -5/9
- -sqrt(5)/3
- sqrt(5)/3
- -sqrt(5)/9
-
Express sin^2 theta + 2 cos^2 theta in terms of cos theta only.
- 1 + cos^2 theta
- 2 cos^2 theta
- 1 - cos^2 theta
- 3 cos^2 theta - 1
-
Which expression is equal to tan theta + cot theta?
- sec theta + cosec theta
- sec^2 theta + cosec^2 theta
- sec theta cosec theta
- 1/(sin theta + cos theta)
-
Express 1/(1 - sin theta) + 1/(1 + sin theta) in terms of sec theta.
- sec^2 theta
- 2 sec^2 theta
- 2 cos^2 theta
- 2 tan^2 theta
-
Given tan theta = 2 with theta in the first quadrant, find sin theta.
- sqrt(5)/2
- 2/5
- 2/sqrt(5)
- 1/sqrt(5)
-
Given sec theta = 4 with theta in the fourth quadrant, find sin theta.
- -1/4
- -sqrt(15)/4
- -4/sqrt(15)
- sqrt(15)/4
-
Simplify (sin theta + cos theta)^2 - 2 sin theta cos theta.
- 1
- 1 + 4 sin theta cos theta
- sin^2 theta - cos^2 theta
- 2 sin theta cos theta
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