1 What is the value of arcsin(−1/2) in degrees?

Answer:

2

What is the value of arccos(3√2) in radians?

Answer:

I ACCIDENTALLY PUT 12 IT IS SUPPOSED TO BE -1/2 FOR THE FIRST QUESTION

jjennylove
Nov 30, 2018

#1**+1 **

Just use a calculator to find (unless you know )

arcsin (-1/2) = -30 or 210 degrees

arc cos (sqrt2 *3) is invalid

Arccos(sqrt(3)/2) is also 30 degrees which is pi/6 radians ( or - pi/6 radians also)

ElectricPavlov
Nov 30, 2018

edited by
ElectricPavlov
Nov 30, 2018

edited by ElectricPavlov Nov 30, 2018

edited by ElectricPavlov Nov 30, 2018

edited by ElectricPavlov Nov 30, 2018

edited by ElectricPavlov Nov 30, 2018

#2**+1 **

For the first one...make sure your calculator [ or our calculator] is set to "degree" mode!!

1. First of all ...arcsin (-12) doesn't exist

I think you mean arcsin (-1/2) = -30° = [360 - 30 ]° = 330° [ positive result ]

2. arccos(3√2).....I think you mean arccos (√3/ 2)...set your calculator to "radian" mode

arccos(√3/2) ≈ .523 rads

Note.....that on the second one...if we want the * exact* result...set your calculator back to "degree" mode and evaluate arccos(3√2) = 30°

To convert this to an exact result....use this

30° x pi / 180° = (30/180) pi = pi/6 (rads)

CPhill
Nov 30, 2018