NCERT Class 10 Mathematics Trigonometric Functions Formative Assessment CBSE Board Sample Problems
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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)
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 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