CBSE Class 11-Mathematics: Trigonometric Functions Tutorial-II

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Fill in the Blank

(a) (a) The value of the trigonometric function is …………

(b) The value of the ______is is ______

(c) The value of is ____________

(d) The radian measure of the angle is ____.

Solution

a)

b)

True or False Statement

(1) We can find a value of for which

(2) radian is equal to degrees

(3)

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

(5)

(6)

(7) for

(8)

Solutions:

1) F

2) T

3) T

4) T

5) T

6) F

7) T

8) T

Subjective Questions

Find the domain and range of the following trigonometric function:

(1)

(2)

(3)

(4)

(5)

Linked Type Comprehension

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 and

(iii) The value of

(iv) The value of

(v) Find the value of

Subjective Question

a) Prove that

b) Prove that

c) Prove that

Solution (a):

b) We know that

So, substituting these values we get LHS=RHS

c) 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