inverse trig functions

Question 1

y = sin^⁻1 x is also

Answer 1

y = arcsin x

Question 2

y = cos^-1 x is also

Answer 2

y = arccos x

Question 3

y= tan ^-1 x is also

Answer 3

y = arctan x

Question 4

equivalent equation of y = cos^-1 x and
y = arccos x

Answer 4

x = cos y

Question 5

equivalent equation of y = sin^⁻1 x and
y = arcsin x

Answer 5

x = sin y

Question 6

equivalent equation of y= tan ^-1 x and
y = arctan x

Answer 6

x = tan y

Question 7

range of y = sin^⁻1 x and y = arcsin x

Answer 7

-π/2 ≤ y < π/2

Question 8

range of y = cos^-1 x and y = arccos x

Answer 8

0 ≤ y < π

Question 9

range of y= tan ^-1 x and y = arctan x

Answer 9

-π/2 < y < π/2

Question 10

y= csc^-1 x is also

Answer 10

y = arccsc x

Question 11

y= sec^-1 x is also

Answer 11

y = arcsec x

Question 12

y= cot^-1 x is also

Answer 12

y = arccot x

Question 13

equivalent equation of y= csc^-1 x and
y = arccsc x

Answer 13

x = csc y

Question 14

equivalent equation of y= sec^-1 x and
y = arcsec x

Answer 14

x = sec y

Question 15

equivalent equation of y= cot^-1 x and
y = arccot x

Answer 15

x = cot y

Question 16

range of y= csc^-1 x and y = arccsc x

Answer 16

-π/2 ≤ y < π/2

Question 17

range of sec^-1 x and y = arcsec x

Answer 17

0 ≤ y < π

Question 18

range of y= cot^-1 x and y = arccot x

Answer 18

0 ≤ y < π