Class 10 Quiz Level 1 (Easy) – Trigonometry

Total questions: 30

Taking θ = 30°, solve : $ \displaystyle 3\sin \theta -4{{\sin }^{3}}\theta $.

Topic: Simplification of Trigonometric Expressions

Deselect Answer

-1

None

Evaluate: cos60° ⋅ cos30° − sin60° ⋅ sin30°.

Topic: Trigonometric Formulae

Deselect Answer

–1

None

Find the value of $ \displaystyle 9{{\sec }^{2}}\text{A}-9{{\tan }^{2}}\text{A}$.

Topic: Secant and Tangent Identities

Deselect Answer

None

Given that sin α = $ \displaystyle \dfrac{1}{2}$ and cosβ = $ \displaystyle \dfrac{1}{2}$, then the value of (α + β) is:

Topic: Sum of Angles in Trigonometry

Deselect Answer

0°

30°

60°

90°

None

What is the value of (cos48° − sin42°)?

Topic: Trigonometric Identities

Deselect Answer

None

Evaluate : cos60° cos30° + sin60° sin30°.

Topic: Trigonometric Formulae

Deselect Answer

$ \displaystyle {\dfrac{{\sqrt{3}}}{2}}$

$ \displaystyle {\dfrac{{\sqrt{3}}}{4}}$

None

In a right triangle ABC, right-angled at B, if tanA = 1, then what is the value of A that satisfies 2 sinA cosA = 1.

Topic: Trigonometric Ratios in Right Triangles

Deselect Answer

None

If $ \displaystyle \sin \text{A }+{{\sin }^{2}}\text{A}=1\text{ }$, then what is the value of the expression $ \displaystyle \left( {{{{\cos }}^{2}}\text{A+}{{{\cos }}^{4}}\text{A}} \right)$?

Topic: Trigonometric Equation

Deselect Answer

None

Evaluate value of : $ \displaystyle {{\sin }^{2}}{{60}^{\circ }}+2\tan {{45}^{\circ }}-{{\cos }^{2}}{{30}^{\circ }}$.

Topic: Evaluation of Trigonometric Expressions

Deselect Answer

None

10.

What is the value of $ \displaystyle \left( {{{{\tan }}^{2}}{{{60}}^{\circ }}+{{{\sin }}^{2}}{{{45}}^{\circ }}} \right)$?

Topic: Trigonometric Values and Simplifications

Deselect Answer

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

$ \displaystyle \dfrac{7}{2}$

$ \displaystyle \dfrac{3}{2}$

$ \displaystyle \dfrac{5}{2}$

None

11.

The value of (tan1° tan2° ……tan89° ) is equal to:

Topic: Product of Trigonometric Functions

Deselect Answer

None

12.

If $ \displaystyle \cot \theta =\dfrac{7}{8},$ evaluate: $ \displaystyle {{\cot }^{2}}\theta $.

Topic: Basic Trigonometric Ratios

Deselect Answer

$ \displaystyle \dfrac{{36}}{{64}}$

$ \displaystyle \dfrac{{121}}{{64}}$

$ \displaystyle \dfrac{{81}}{{64}}$

$ \displaystyle \dfrac{{49}}{{64}}$

None

13.

In the given figure, What is the value of tan P − cot R?

Topic: Trigonometric Identities

Deselect Answer

-1

None of these

None

14.

Find the value of $ \displaystyle \dfrac{{1+{{{\tan }}^{2}}\text{A}}}{{1+{{{\cot }}^{2}}\text{A}}}=$.

Topic: Trigonometric Simplifications

Deselect Answer

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

–1

$ \displaystyle {{{{\cot }}^{2}}\text{A}}$

$ \displaystyle {{\tan }^{2}}\text{A}$

None

15.

The value of sinθ + cosθ will be always:

Topic: Trigonometric Sum

Deselect Answer

more than or equal to 1

None

16.

What is the value of (tan27° − cot63°)?

Topic: Difference of Trigonometric Functions

Deselect Answer

None

17.

If sin3 A = cos(A − 26°), where 3 A is an acute angle, What should be the value of A?

Topic: Trigonometric Equation

Deselect Answer

30°

20°

29°

34°

None

18.

Is it true or not $ \displaystyle {{\tan }^{4}}\theta +{{\tan }^{2}}\theta ={{\sec }^{4}}\theta -{{\sec }^{2}}\theta $?

Topic: Trigonometric Identities

Deselect Answer

True

False

Cannot be predicted

Incomplete information

None

19.

What is the value of $ \displaystyle \left( {{{{\cos }}^{2}}{{{67}}^{\circ }}-{{{\sin }}^{2}}{{{23}}^{\circ }}} \right)$?

Topic: Trigonometric Identities

Deselect Answer

None

20.

Find the value of sec A(1 − sin A)(sec A + tan A).

Topic: Trigonometric Identities

Deselect Answer

None

21.

Express cot85° + cos75° in terms of trigonometric ratios of angles between 0° and 45°.

Topic: Complementary Angle Identities

Deselect Answer

cos5° + tan15°

tan5° + sin15°

tan5° + cot15°

sin5° + cot15°

None

22.

If $ \displaystyle \sin \theta +{{\sin }^{2}}\theta =1,$ then find $ \displaystyle {{\cos }^{2}}\theta +{{\cos }^{4}}\theta$.

Topic: Trigonometric Identities and Equations

Deselect Answer

-1

None

23.

Is it true or not $ \displaystyle \dfrac{{\cot \text{A}-\cos \text{A}}}{{\cot \text{A}+\cos \text{A}}}=\dfrac{{\text{cosec A}-1}}{{\text{cosec A}+1}}$?

Topic: Trigonometric Identities

Deselect Answer

True

False

Cannot be predicted

Incomplete information

None

24.

If $ \displaystyle {{\sec }^{2}}\theta \left( {1+\sin \theta } \right)\left( {1-\sin \theta } \right)=k$ find $ \displaystyle k$.

Topic: Trigonometric Identities

Deselect Answer