Trigonometric Functions

Question 1

What is the domain of sin^-1(x)?

Answer 1

[-1, 1]

Question 2

What is the domain of cos^-1(x)?

Answer 2

[-1, 1]

Question 3

What is the domain of tan^-1(x)?

Answer 3

(- infinity, infinity)

Question 4

What is the range of sin^-1(x)?

Answer 4

[-π/2, π/2]

Question 5

What is the range of cos^-1(x)?

Answer 5

[0, π]

Question 6

What is the range of tan^-1(x)?

Answer 6

(-π/2, π/2)

Question 7

What does arcsin, arccos, and arctan mean?

Answer 7

sin^-1(x)
cos^-1(x)
tan^-1(x)

Question 8

Are arctan and cotangent equal?

Answer 8

No.

Question 9

What does sin(sin^−1(x)), cos(cos^-1(x)), and tan(tan^-1(x)) equal to?

Answer 9

x
x
x

Question 10

Given sin^-1(1/2), how would you find the answer?

Answer 10

Use sin(xº) = 1/2

Question 11

What quadrants are sin^−1(x), cos^-1(x), and tan^-1(x) found in?

Answer 11

sin^-1 = I and IV
cos^-1 = I and II
tan^-1 = I and IV

Question 12

What is cos(-x) equal to?

Answer 12

cos(x)

Question 13

What is sin^-1(sin(x)), cos^-1(cos(x)), and tan^-1(tan(x))?

Answer 13

x
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