Give the measure of the angle in radians and degrees?

Question

sin^-1(0.5)

tan^-1(-5)

Answer 1

sin^ -1 (0.5) = 30º AND 150º

You can find this with a calculator.

180º = PI radians

So, to convert the value of 30º and 150º into radians, we can multiply the value by 1 (but in a different way)

Because 180º = PI radians, PI radians / 180º = 1

We can multiply 30º by PI radians / 180º to get the answer.

30º * PI radians / 180º

30 * PI radians / 180       (the degrees value is canceled out)

3 * PI radians / 18

PI radians / 6

The answer for 30º is 1/6 PI radians

150º * PI radians / 180º

150 * PI radians / 180       (the degrees value is canceled out)

15 * PI radians / 18

5 PI radians / 6

The answer for 150º is 5/6 PI radians

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tan^ -1 (-5) is not possible as far as i know.

Answer 2

Inverse trig functions mean :

sin^-1(0.5) means the sin of what angle equals .5

sin 30 degrees equals .5 so the answer is 30 degrees or pi/6 radians.

Grab a graphing calculator and type in tan^-1(-5) to get your answer, then change the mode to get the other answer in degrees and radians.

Good luck to you !!