NCERT Class 10 Mathematics Trigonometric Functions Formative Assessment CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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Fill in the blank

(a) The value of the trigonometric function cosec is________ (2,3)

(b) The value of the is________ (. 5/-. 5)

(c) The value of sun is________

(d) The radian measure of the angle is

Solution

a) 2

b) -5

True or False statement

(1) We can find a value of e for which

Solutions: False

(2) radian is equal to 180 degrees

Solutions: True

(3)

Solutions: True

(4) The range of the secant function is defined as

Solutions: True

(5)

Solutions: True

(6)

Solutions: False

(7)

Solutions: True

(8)

Solutions: True

Subjective Questions

Find the domain and range of the following trigonometric function:

(1)

(2)

(3)

(4)

(5)

If and is fourth quadrant. Find the following

(i) Write all the trigonometric identities

(ii) Find out the sign of the other basic quantities like sin, tan, sec, cosec, and cot

(iii) The value of

(iv) The value of

(V) Find the value of

Subjective question

a) Prove that

Solution:

LHS =

b) Prove that

Solution: We know that

substituting these values we get LHS = RHS

C) Prove that

Solution

L. H. S.

Subjective Questions

If lies between and and

Find following

a) What is value of

b) What is value of

c) What is value of

Solution:

The value of will be expressed in for , Now since lies in third quadrant, it is negative

Also

Hence is a second quadrant angle so is positive and .

And is negative

Now half angles formulas are as

We will use the positive sign

Now half angles formulas are as

We will use the negative sign

Now half angles formulas are as

We will use the negative sign

So substituting the values, we get

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