Inverse Trigonometric Functions - Online Test

Q1.
The value of 
 
is

Answer : Option D
Explaination / Solution:




Q2. The maximum value of sin x + cos x is
Answer : Option D
Explaination / Solution:

(12√)+(12√)=2–√
Q3. The minimum value of sin x −− cos x is
Answer : Option B
Explaination / Solution:

(−12√)+(−12√)=−2–√
Q4. If  is equal to
Answer : Option A
Explaination / Solution:

secθ+ tanθsecθ−tanθ=1cosθ+sinθcosθ1cosθ−sinθcosθ=1+sinθ1−sinθ=1+351−35=4
Q5. If ,then the value of is
Answer : Option B
Explaination / Solution:

⇒⇒
Q6. cos2θ is not equal to
Answer : Option B
Explaination / Solution:

 is equals to 


Q7. When x=,x/2,then tan x, is
Answer : Option B
Explaination / Solution:

tan(π2)=sin(π2)cos(π2)=10=notdefined
Q8. tan x is periodic with period
Answer : Option C
Explaination / Solution:

The values of tanx repeats after an interval of π.

Q9. The period of the function f(x)=tan3x is
Answer : Option A
Explaination / Solution:

, as the period of tanx = 
Q10.  is equal to
Answer : Option B
Explaination / Solution:

 =​​​=