Class 10 Practice – Level 2 – Set 2 –Trigonometry

Total questions: 25

Evaluate cosec(67° + θ ) − sec(23° − θ).

Topic: Complementary Angles in Trigonometry

None

Without using trigonometric tables evaluate tan71° − cot19°.

Topic: Trigonometric Identities

-1

None

Evaluate sin(50° +θ ) − cos(40° + θ ) + tan1° tan10° tan80° tan89°.

Topic: Sum and Product of Angles

-1

None

Express the following in terms of trigonometric ratios of angles lying between 0 and 45: sin67° + cos75°.

Topic: Angles Between 0° and 45°

cos23° + sin15°

cos90° + sin15°

cos90° + sin45°

cos15° + sin23°

None

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

Topic: Sine and Cosine

-1

None

Evaluate the following in terms of trigonometric ratios of angles lying between 0 and 45: cosec54° + sin72°.

Topic: Angles Between 0° and 45°

sec16° + cos18°

cosec36° + sec18°

sec36° + cos18°

cosec45° + sec60°

None

Evaluate sin(70° + θ ) − cos(20° + θ).

Topic: Complementary Angles in Trigonometry

-1

None

Evaluate tan48° tan23° tan42° tan67°.

Topic: Trigonometric Product Identities

None

Evaluate cos1° cos2° cos3° .... cos180°.

Topic: Cosine Product Formula

None

10.

If sec2A = cosec(A − 45° ) , where 2A is an acute angle, then what is the value of A?

Topic: Trigonometric Equation

45°

60°

90°

44°

None

11.

Evaluate cos81° − sin9°.

Topic: Trigonometric Identities

None

12.

Evaluate (sin65° + cos25°)(sin65° − cos25°).

Topic: Trigonometric Identities

None

13.

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

Topic: Trigonometric Identities

-1

None

14.

Evaluate $ \displaystyle {{\tan }^{2}}{{66}^{\circ }}-{{\cot }^{2}}{{24}^{\circ }}$.

Topic: Pythagorean Identities in Trigonometry

-1

None

15.

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

Topic: Trigonometric Equation

15°

30°

45°

55°

None

16.

Evaluate $ \displaystyle (1+\cos \theta )(1-\cos \theta )(1+{{\cot }^{2}}\theta )$.

Topic: Simplification of Trigonometric Expressions

-1

None

17.

5 tan² A – 5 sec² A + 1 is equal to:

Topic: Trigonometric Simplifications

-2

-4

None

18.

Without trigonometric tables, evaluate tan48° tan23° tan42° tan67°.

Topic: Trigonometric Identities

-4

None

19.

If x = a cos θ and y = b sin θ, then $ \displaystyle {b}^{2} {x}^{2} {+} {a}^{2} {y}^{2}$ will be equal to:

Topic: Parametric Equations

$ \displaystyle {a}^{4} {b}^{4}$

$ \displaystyle {a}{b}$

$ \displaystyle {a}^{2} {b}^{2}$

$ \displaystyle {a}^{2} {+} {b}^{2}$

None

20.

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

Topic: Sum of Angles in Trigonometry

0.5

-1

None

21.

Without using trigonometric tables, evaluate : (sin65° + cos25°)(sin65° − cos25°).

Topic: Trigonometric Simplifications

0.5

None

22.

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

Topic: Trigonometric Identities

−1

None

23.

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

Topic: Trigonometric Identities

−1

None

24.

What is the value of $ \displaystyle 3{{\cot }^{2}}\theta -3{{\cosec }^{2}}\theta$?

Topic: Trigonometric Identities

−1

−5

−7

−3

None

25.

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

Topic: Trigonometric Identities

−3

−1

None

1 out of 25

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Class 10 Practice – Level 2 – Set 2 –Trigonometry

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