find all solutions to sin?=0.7 on interval 3pi =? =5pi

Question

round to 3 decimal places

 

Answer 1

INVERSE SINE(0.7) = 0.7753975 RADIANS.

This answer is in the first quadrant.

Angle pi - 0.7753975 = 2.3661952 in Quadrant II also has the same sine value, 0.7.

 

The interval (3pi,5pi) corresponds to Quadrants III, IV, I and II, in that order; so we need to add 2pi to each of the aforesaid answers (in my first paragraph).

 

Therefore these (fairly strange) answers, in radians, are about

7.058583 and 8.6493805