Inverse Trigonometric Functions - Online Test
Q1. The value of the expression sinθ+cosθ lies between
Answer : Option D
Explaination / Solution:
Minimum value = and maximum value =
Q2. equals
Answer : Option A
Explaination / Solution:
we know that sin−1x+cos−1x=π2sin(sin−112+cos−112)=sin(π2)=1
Q3. The range of x is
Answer : Option D
Explaination / Solution:
the domain range of tan function are and R
But tan function is one one and onto only when we shrink range to (-1,1)
Now tan function which is one and on to has domain and range(-1,1)
hence domain and range of function is (-1,1 ) to
Q4. If x then sin 2 θ is equal to
Answer : Option B
Explaination / Solution:
.
Q5. If then is equal to
Answer : Option C
Explaination / Solution:
sin−1x+cos−1x=π2cos−1x=π2−sin−1x=π2−π5=3π10.
Q6. The principal value of
Answer : Option A
Explaination / Solution:
Q7. is equal to
Answer : Option B
Explaination / Solution:
Q8.
is equal to
Answer : Option B
Explaination / Solution:
cot−1x=θ⇒x=cotθ⇒cotθ=x1sin(cot−1x)=sinθ=Perp.Hyp.=1x2+1√.
Q9. is equal to
Answer : Option B
Explaination / Solution:
=.because ,
Q10. If = ,then x =
Answer : Option C
Explaination / Solution:
