Sample Test Paper for Class 10- Introduction to Trignometry

Thu Jan 12, 2023

Mock Test Series

Que 1

If sinA = 3/5 find value of cos A

a) 1/5

b) 4/5

c ) 5/ 3

d) 2/ 5

Solution -- 4/5

Que 2

If tan A = 1/ √3 find value of cot A

a) 2/√3

b) 4/√3

c) √3/1

d) 1/3

Solution -- √3/1

Que 3--

If cosec A = √3/2 find value of cot A

a) -1/4

b) 1/2

c) - 1/2

d) 1/ 4

Solution -- (-1/2)

Que 4

If cos A = 5/ 13 .

find (sinA - cos A)/ 2 tan A

a) 5/104

b) 104/5

c) - 5 / 104

d) 2/13

Solution

sinA = 4/ 13 , cos A = 5/13 tan A = 4/5

(4/13. -5/13)/ 8/5 = (-1/13)8/5 = - 5/ 104

Que 5 --

If 4 cot A = 3 find value of cosec²A - cot²A

a) 1

b) 0

c) 3/5

d) 9/ 25

Solution -- a) 1

What is Trigonometry

Trigonometry is a branch of mathematics that deals with the relationship between the angles and sides of triangles, particularly right triangles. It is used to study the properties of triangles and to solve problems involving angles, distances, and other geometric quantities. Trigonometry also has many applications in fields such as physics, engineering, and navigation

What are different formula for trigonometry

There are several fundamental formulas in trigonometry, including:

Sine (sin), cosine (cos), and tangent (tan) ratios: These ratios express the relationship between the sides of a right triangle and the angles opposite or adjacent to a given angle. For example, in a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse is the sine of that angle.

Pythagorean theorem for right triangle: This states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Cosecant (csc), secant (sec), and cotangent (cot) ratios: These are the reciprocal functions of the sine, cosine, and tangent.

Inverse Trig functions: arccos(x), arcsin(x), arctan(x) also known as Inverse Cosine, Inverse Sine and Inverse tangent respectively, which are used to find the angle when the ratio is given.

Addition and Subtraction Formulae: These are used to express trigonometric functions of sum or difference of two angles in terms of the trigonometric functions of individual angles.

Double angle formulae: These are used to express trigonometric functions of twice an angle in terms of the trigonometric functions of the angle.

Half angle formulae: These are used to express trigonometric functions of half an angle in terms of the trigonometric functions of the angle.

Product-to-Sum Formulae: These are used to express the product of two trigonometric functions in terms of sum or difference of two trigonometric functions.

Sum-to-Product Formulae: These are used to express the sum of two trigonometric functions in terms of product of two trigonometric functions.

Sample Test Paper for Class 10- Introduction to Trignometry

Mock Test Series

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