Lesson 5.5.1
5.5.1 Trigonometric identities Quiz: Pearson Edexcel Maths, Unit 5
20 questions
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Lesson 5.5.1, Trigonometric identities: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 5: Trigonometry, written with Revision Ninja.
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The 20 questions
-
What is the exact identity for sin theta divided by cos theta?
- cot theta
- cosec theta
- tan theta
- sec theta
-
What is the reciprocal identity for one over sin theta?
- sec theta
- cot theta
- sin theta
- cosec theta
-
What is the reciprocal identity for one over cos theta?
- sec theta
- tan theta
- cot theta
- cosec theta
-
What is the reciprocal identity for one over tan theta?
- cot theta
- cosec theta
- sec theta
- tan theta
-
What is the fundamental Pythagorean trigonometric identity involving sin squared and cos squared?
- 2
- 1
- tan squared theta
- 0
-
Rewrite the expression sec squared theta minus one in terms of another trigonometric function.
- cosec squared theta
- sin squared theta
- tan squared theta
- cot squared theta
-
Rewrite the expression cosec squared theta minus one in terms of another trigonometric function.
- tan squared theta
- sec squared theta
- cos squared theta
- cot squared theta
-
Simplify the expression sin theta multiplied by cot theta into a single trigonometric ratio.
- cosec theta
- sin theta
- cos theta
- tan theta
-
Simplify the expression cos theta multiplied by tan theta into a single trigonometric ratio.
- cos theta
- sec theta
- cot theta
- sin theta
-
Simplify the algebraic fraction open bracket one minus cos squared theta close bracket over sin theta.
- sin theta
- cos theta
- 1
- tan theta
-
Simplify the product sec theta multiplied by sin theta divided by tan theta.
- tan theta
- cos theta
- 1
- sin theta
-
Evaluate the exact value of sec squared thirty degrees minus tan squared thirty degrees.
- 0
- 4 over 3
- 2
- 1
-
Evaluate the exact value of cosec squared forty five degrees minus cot squared forty five degrees.
- 0
- root 2
- 2
- 1
-
Find all solutions to two cos squared theta minus five sin theta plus one equals zero where theta is acute.
- 45 degrees
- 90 degrees
- 60 degrees
- 30 degrees
-
Express three sin theta plus four cos theta in the form R sine open bracket theta plus alpha close bracket. What is R?
- root 7
- 5
- 7
- 25
-
Prove that open bracket one minus sin theta close bracket open bracket one plus sin theta close bracket equals what?
- 1
- cos squared theta
- tan squared theta
- sin squared theta
-
What is the standard auxiliary angle form expression for three sin theta plus four cos theta?
- 5 sin(theta + 0.643)
- 7 sin(theta + 0.927)
- 25 sin(theta + 0.927)
- 5 sin(theta + 0.927)
-
What is the alternative form for one plus tan squared theta?
- cot squared theta
- sec squared theta
- sin squared theta
- cosec squared theta
-
What is the alternative form for one plus cot squared theta?
- sec squared theta
- tan squared theta
- cos squared theta
- cosec squared theta
-
What is the exact value of tan sixty degrees?
- root 3 / 2
- root 3
- 1 / root 3
- 0.5
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