Test : Trigonometric Functions And Identities - 4

Question 1

If α satisfies the in equations x²-x-2>0 then a value exists for

Accepted Answer

sec-1 &alpha;

Answer

sin-1 &alpha;

Answer

cos-1 &alpha;

Answer

none

Question 2

If α, β are roots of the equation 6x² + 11x +3 =0 then

Accepted Answer

both cot^-1 α and cot^-1 β are real

Answer

both cos^-1 α and cos^-1 β are real

Answer

both cosec^-1 α and cosec^-1 β are real

Answer

none

Question 3

Let f(x)= sec^-1x+ tan^-1x Then f(x) is real for

Accepted Answer

x∈(-∞,-1]∪[1,+∞)

Answer

x&isin;[-1,1]

Answer

x&isin;R

Answer

none

Question 4

If cos^-1x-sin^-1x=0 then x is equal to

Accepted Answer

1/&radic;2

Answer

Answer

1

Answer

&radic;2

Question 5

cosec^-1 (cos x) is real if

Accepted Answer

x is a multiple of π

Answer

x ∈ [-1.1]

Answer

x&isin;R

Answer

x is an odd multipla of π/2

Question 6

The principal value of sin^-1

Accepted Answer

&pi;/6

Answer

5&pi;/6

Answer

7&pi;/6

Answer

none

Question 7

The principal value of

Accepted Answer

&pi;/3

Answer

5&pi;/3

Answer

7&pi;/6

Answer

none

Question 8

The principal value of sin^-1

Accepted Answer

&pi;/6

Answer

&pi;/3

Answer

-&pi;/3

Answer

none

Question 9

The principal value of

Accepted Answer

none

Answer

3&pi;/20

Answer

7&pi;/20

Answer

7&pi;/10

Question 10

The value of cos

Accepted Answer

Answer

Answer

1

Answer

none

Question 11

is the principal value of

Accepted Answer

Answer

Answer

Answer

none

Question 12

If cos^-1 λ + cos^-1μ + cos-1ν=3π then λμ + μv + vλ is equal to

Accepted Answer

3

Answer

-3

Answer

0

Answer

-1

Question 13

If <img src="https://cn.edurev.in/ApplicationImages/Temp/7c0a509d-eb9c-41f9-8a63-75fb27963689_lg.jpg" /> is

Accepted Answer

10

Answer

0

Answer

5

Answer

none

Question 14

If is equal to

Accepted Answer

2n

Answer

n

Answer

Answer

none

Question 15

The value of cos^-1

Accepted Answer

&pi;/3

Answer

0

Answer

2&pi;/3

Answer

none

Question 16

The value of tan

Accepted Answer

none

Answer

0

Answer

1

Answer

7/17

Question 17

The formula cos^-1 holds only for

Accepted Answer

x∈[1,+∞)

Answer

x&isin;R

Answer

|x| &le; 1

Answer

x∈ (-1,1)

Question 18

tan^-1a + tan^-1 b, where a > 0 , b > 0 , ab > 1, is equal to

Accepted Answer

Answer

Answer

Answer

none

Question 19

The set of values of x for which holds is

Accepted Answer

[-1,1]

Answer

R

Answer

[0,1]

Answer

[-1,0]

Question 20

<img src="https://cn.edurev.in/ApplicationImages/Temp/5ca4dc92-7a92-48e8-a8fd-a36e5426b23d_lg.jpg" /> holds for

Accepted Answer

0 ≤ x ≤ 1

Answer

|x| &le; 1

Answer

x &isin; R

Answer

-1 ≤ x ≤ 0

Test : Trigonometric Functions And Identities - 4 Maths MCQs & solutions

MCQ Practice Test & Solutions: Test : Trigonometric Functions And Identities - 4 (20 Questions)

If α satisfies the in equations x²-x-2>0 then a value exists for

If α, β are roots of the equation 6x² + 11x +3 =0 then

Let f(x)= sec^-1x+ tan^-1x Then f(x) is real for

If cos^-1x-sin^-1x=0 then x is equal to

cosec^-1 (cos x) is real if

The principal value of sin^-1

The principal value of

The principal value of sin^-1

The principal value of

The value of cos

is the principal value of

If cos^-1 λ + cos^-1μ + cos-1ν=3π then λμ + μv + vλ is equal to

If is

If is equal to

The value of cos^-1

The value of tan

The formula cos^-1 holds only for

tan^-1a + tan^-1 b, where a > 0 , b > 0 , ab > 1, is equal to

The set of values of x for which holds is

holds for

Topic-wise Tests & Solved Examples for Mathematics

Topic-wise Tests & Solved Examples for Mathematics

Top Courses for Mathematics

About this Mathematics Practice Test

Explore more Mathematics Study Resources

Test : Trigonometric Functions And Identities - 4 Maths MCQs & solutions

MCQ Practice Test & Solutions: Test : Trigonometric Functions And Identities - 4 (20 Questions)

If α satisfies the in equations x2-x-2>0 then a value exists for

If α, β are roots of the equation 6x2 + 11x +3 =0 then

Let f(x)= sec-1 x+ tan-1x Then f(x) is real for

If cos-1x-sin-1x=0 then x is equal to

cosec-1 (cos x) is real if

The principal value of sin-1

The principal value of

The principal value of sin-1

The principal value of

The value of cos

is the principal value of

If cos-1 λ + cos-1μ + cos-1ν=3π then λμ + μv + vλ is equal to

If is

If is equal to

The value of cos-1

The value of tan

The formula cos-1 holds only for

tan-1a + tan-1 b, where a > 0 , b > 0 , ab > 1, is equal to

The set of values of x for which holds is

holds for

Topic-wise Tests & Solved Examples for Mathematics

Topic-wise Tests & Solved Examples for Mathematics

Top Courses for Mathematics

About this Mathematics Practice Test

Explore more Mathematics Study Resources

If α satisfies the in equations x²-x-2>0 then a value exists for

If α, β are roots of the equation 6x² + 11x +3 =0 then

Let f(x)= sec^-1x+ tan^-1x Then f(x) is real for

If cos^-1x-sin^-1x=0 then x is equal to

cosec^-1 (cos x) is real if

The principal value of sin^-1

The principal value of sin^-1

If cos^-1 λ + cos^-1μ + cos-1ν=3π then λμ + μv + vλ is equal to

The value of cos^-1

The formula cos^-1 holds only for

tan^-1a + tan^-1 b, where a > 0 , b > 0 , ab > 1, is equal to