Class 10 Quiz Level 2 (Moderate) – Trigonometry

Total questions: 20

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

Topic: Secant and Cosecant

Deselect Answer

55°

49°

33°

21°

None

Evaluate sin60° cos30° +cos60° sin30°.

Topic: Trigonometric Identities

Deselect Answer

–1

None

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

Topic: Trigonometric Identities

Deselect Answer

True

False

Cannot be determined

Incomplete information

None

If A and B are complementary angles, then:

Topic: Complementary Angle Identities

Deselect Answer

tan A = tan B

sec A = cosec B

sin A = sin B

cos A = cos B

None

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

Topic: Simplification of Trigonometric Expressions

Deselect Answer

−1

None

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

Topic: Trigonometric Ratio Simplification

Deselect Answer

–1

None

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

Topic: Trigonometric Identities

Deselect Answer

-1

None

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

Deselect Answer

None

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

Topic: Properties of Trigonometric Ratios

Deselect Answer

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

10.

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

Topic: Pythagorean Identities in Trigonometry

Deselect Answer

None

11.

Without trigonometric tables, evaluate cos54° cos36° −sin54° sin36°.

Topic: Sine and Cosine

Deselect Answer

-1

None

12.

If cos2θ = sin4θ where 2θ and4θ are acute angles, then what should be the value of θ?

Topic: Trigonometric Equation

Deselect Answer

15°

30°

45°

55°

None

13.

What is the value of $ \displaystyle \left( {1-{{{\sin }}^{2}}\theta } \right)+{{\sec }^{2}}\theta $?

Topic: Trigonometric Identities

Deselect Answer

−3

−1

None

14.

Evaluate tan48° tan23° tan42° tan67°.

Topic: Trigonometric Product Identities

Deselect Answer

None

15.

Without using trigonometric tables evaluate tan71° − cot19°.

Topic: Trigonometric Identities

Deselect Answer

-1

None

16.

What is the value of $ \displaystyle {{\sec }^{2}}\theta \left( {1+\sin \theta } \right)\left( {1-\sin \theta } \right)$?

Topic: Trigonometric Identities

Deselect Answer

−1

None

17.

5 tan² A – 5 sec² A + 1 is equal to:

Topic: Trigonometric Simplifications

Deselect Answer

-2

-4

None

18.

Evaluate (sin72° + cos18°)(sin72° − cos18°).

Topic: Trigonometric Identities

Deselect Answer

-1

None

19.

Evaluate cos81° − sin9°.

Topic: Trigonometric Identities

Deselect Answer

None

20.

If in ΔABC, ∠C = 90°, then sin (A + B) will be equal to:

Topic: Sum of Angles in Trigonometry

Deselect Answer

0.5

-1

None

1 out of 20

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Class 10 Quiz Level 2 (Moderate) – Trigonometry

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