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Fundamentals of trigonometry
Written by Hassan Raza (Mathematics)
8 Class 11 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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180 degrees is equal to how many radians?
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Correct answer: pi
180 degrees = pi radians.
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sin(90 degrees) equals:
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Correct answer: 1
sin 90 = 1.
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The length of an arc of radius 5 cm subtending an angle of 2 radians is:
- 1 10 cm
- 2 2.5 cm
- 3 25 cm
- 4 7 cm
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Correct answer: 10 cm
Arc length = r x theta = 10 cm.
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tan x is equal to:
- 1 sin x / cos x
- 2 cos x / sin x
- 3 sin x cos x
- 4 1 / sin x
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Correct answer: sin x / cos x
tan x = sin x / cos x.
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sin(2x) is equal to:
- 1 sin² x
- 2 cos² x - sin² x
- 3 2 sin x cos x
- 4 2 sin x
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Correct answer: 2 sin x cos x
This is the double angle formula.
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cos² x - sin² x equals:
- 1 sin 2x
- 2 tan 2x
- 3 1
- 4 cos 2x
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Correct answer: cos 2x
This is a double angle identity.
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sin(A + B) equals:
- 1 sin A sin B + cos A cos B
- 2 sin A cos B + cos A sin B
- 3 cos A cos B
- 4 sin A + sin B
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Correct answer: sin A cos B + cos A sin B
This is the addition formula.
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The period of sin x is:
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Correct answer: 2 pi
sin repeats every 2 pi.
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