Class 10 Practice – Level 2 – Set 1 –Trigonometry

Total questions: 25

If ∠A and ∠B are acute angles such that cos A = cos B, then the ∠A = ∠B.

Topic: Trigonometric Identities

True

False

Cannot be determined

Incomplete information

None

If 3cot A = 4, then find the value of $ \displaystyle \dfrac{{1-{{{\tan }}^{2}}\text{A}}}{{1+{{{\tan }}^{2}}\text{A}}}$.

Topic: Trigonometric Ratios and Identities

$ \displaystyle {{\cos }^{2}}\text{A}-{{\sin }^{2}}\text{A}$

$ \displaystyle {{\sin }^{2}}\text{A}-{{\cos }^{2}}\text{A}$

$ \displaystyle {{\sec }^{2}}\text{A}-{{\sin }^{2}}\text{A}$

$ \displaystyle {{\cos }^{2}}\text{A}-{{cosec }^{2}}\text{A}$

None

The value of tan A is always less than 1:

Topic: Range of Trigonometric Ratios

True

False

Cannot be predicted

Incomplete information

None

If A and B are complementary angles, then:

Topic: Complementary Angle Identities

tan A = tan B

sec A = cosec B

sin A = sin B

cos A = cos B

None

cos A is the abbreviation used for:

Topic: Notation in Trigonometry

The cosecant of angle A

The secant of angle A

The cosine of angle A

The tangent of angle A

None

Which of the following does not hold true for cot A?

Topic: Properties of Trigonometric Ratios

Product of cot and A

Cotangent of ∠A

Ratio of the adjacent side to the opposite side of a right triangle with angle A

Reciprocal of the tangent function

None

sin 2B = 2 sin B is true when B is equal to:

Topic: Special Angles in Trigonometry

30°

90°

60°

0°

None

Evaluate $ \displaystyle \dfrac{{\sin {{{18}}^{\circ }}}}{{\cos {{{72}}^{\circ }}}}$.

Topic: Trigonometric Ratio Simplification

– 1

$ \displaystyle \dfrac{1}{2}$

None

What should be the value of cos48° − sin42°?

Topic: Simplification of Trigonometric Expressions

−1

None

10.

If tan2A = cot(A − 18°), where 2A is an acute angle, What should be the value of A?

Topic: Trigonometric Equation

58°

47°

36°

24°

None

11.

Evaluate sin60° cos30° +cos60° sin30°.

Topic: Trigonometric Identities

–1

None

12.

Evaluate $ \displaystyle =\dfrac{{\cos {{{80}}^{\circ }}}}{{\sin {{{10}}^{\circ }}}}+\cos {{59}^{\circ }}\text{cosec}{{31}^{\circ }}$.

Topic: Trigonometric Ratio Simplification

-2

None

13.

Evaluate $ \displaystyle \text{cose}{{\text{c}}^{2}}{{72}^{\circ }}-{{\tan }^{2}}{{18}^{\circ }}$ without using trigonometric tables.

Topic: Pythagorean Identities in Trigonometry

-1

None

14.

If sec 4A = cosec(A − 15°) , where 4A is an acute angle, What is the value of A?

Topic: Secant and Cosecant

55°

49°

33°

21°

None

15.

Evaluate $\displaystyle \text{cosec}{{80}^{\circ }}-\sec {{10}^{\circ }}$ without using trigonometric tables.

Topic: Complementary Angle Identities

None

16.

Evaluate $ \displaystyle \dfrac{{cosec {{{42}}^{\circ }}}}{{\sec {{{48}}^{\circ }}}}$ without using trigonometric tables.

Topic: Trigonometric Ratio Simplification

–1

None

17.

If sin3A = cos(A − 26°) where 3A is an acute angle, what should be the value of A?

Topic: Sine and Cosine

36°

29°

42°

54°

None

18.

Evaluate tan(55° − θ ) − cot(35° + θ ).

Topic: Trigonometric Identities

-1

None

19.

Evaluate sec70° sin20° +cos20° cosec70°.

Topic: Complementary Angles in Trigonometry

None

20.

Evaluate sinθ cos(90° − θ ) + sin(90° − θ ) cosθ.

Topic: Trigonometric Ratios of Complementary Angles

None

21.

Evaluate $ \displaystyle \dfrac{{\sin \theta }}{{\cos \left( {{{{90}}^{\circ }}-\theta } \right)}}+\dfrac{{\cos \theta }}{{\sin \left( {{{{90}}^{\circ }}-\theta } \right)}}$.

Topic: Simplification of Trigonometric Expressions

None

22.

Evaluate $ \displaystyle \frac{{~\cos {{{35}}^{\circ }}}}{{\sin {{{55}}^{\circ }}}}$.

Topic: Trigonometric Ratio Simplification

–1

None

23.

If tan2A = cot(A − 12°) , where 2A is an acute angle, What is the value of A?

Topic: Trigonometric Equation

34°

55°

62°

22°

None

24.

If sin θ + sin² θ = 1, then cos² θ + cos4 θ will be equal to:

Topic: Pythagorean Identities in Trigonometry

None

25.

Evaluate cosec(65°+ θ ) − sec(25° − θ ) − tan(55° − θ ) +cot(35° + θ ).

Topic: Trigonometric Functions

None

1 out of 25

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Class 10 Practice – Level 2 – Set 1 –Trigonometry

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