Lesson 5.4.1
5.4.1 Secant, cosecant and cotangent Quiz: Pearson Edexcel Maths, Unit 5
20 questions
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Lesson 5.4.1, Secant, cosecant and cotangent: 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 reciprocal of the sine function in trigonometry?
- cotangent
- cosine
- secant
- cosecant
-
What is the reciprocal of the cosine function in trigonometry?
- cotangent
- cosecant
- sine
- secant
-
What is the reciprocal of the tangent function in trigonometry?
- cosine
- cosecant
- cotangent
- secant
-
What is the reciprocal trigonometric function defined as 1 / cos theta?
- sec theta
- cot theta
- tan theta
- cosec theta
-
What is the reciprocal trigonometric function defined as 1 / sin theta?
- cot theta
- cosec theta
- tan theta
- sec theta
-
How is the cotangent of an angle theta expressed in terms of sine and cosine?
- 1 / cos theta
- cos theta / sin theta
- 1 / sin theta
- sin theta / cos theta
-
Which trigonometric identity involves secant squared and tangent squared?
- 1 + cot^2 theta = cosec^2 theta
- 1 - tan^2 theta = sec^2 theta
- sin^2 theta + cos^2 theta = 1
- 1 + tan^2 theta = sec^2 theta
-
Which trigonometric identity involves cosecant squared and cotangent squared?
- 1 + cot^2 theta = cosec^2 theta
- sin^2 theta + cos^2 theta = 1
- 1 - cot^2 theta = cosec^2 theta
- 1 + tan^2 theta = sec^2 theta
-
What is the exact value of sec(0 degrees)?
- -1
- undefined
- 0
- 1
-
What is the exact value of cosec(pi / 2 radians)?
- 0
- undefined
- 1
- -1
-
At which of these values is secant theta undefined?
- 2 pi
- 0
- pi
- pi / 2
-
At which of these values is cosecant theta undefined?
- 3 pi / 2
- 0
- pi / 2
- pi / 4
-
Simplify the expression sec theta times cot theta into a single term.
- sin theta
- tan theta
- cosec theta
- cos theta
-
Simplify the expression cosec theta times tan theta into a simpler term.
- cot theta
- sin theta
- sec theta
- cos theta
-
Solve sec theta = 2 for principal values in the range 0 to 2 pi.
- pi / 3
- pi / 2
- pi / 6
- pi / 4
-
Solve cosec theta = 2 for principal values in the range 0 to 2 pi.
- 3 pi / 4
- pi / 4
- pi / 6
- pi / 3
-
What is the derivative of sec x with respect to x?
- sec^2 x
- tan^2 x
- sec x tan x
- -cosec x cot x
-
What is the derivative of cosec x with respect to x?
- sec x tan x
- -cosec^2 x
- cot^2 x
- -cosec x cot x
-
What is the derivative of cot x with respect to x?
- cosec^2 x
- sec^2 x
- -sec x tan x
- -cosec^2 x
-
Express tan^2 theta in terms of sec^2 theta using standard identities.
- 1 / sec^2 theta
- 1 - sec^2 theta
- sec^2 theta + 1
- sec^2 theta - 1
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