If sin(x)=1/20 (in Quadrant-I)?

Question

answer 4 decimal places

Answer 1

Answer:

sin(x) = 1/20 = 0.05, take sin^-1 of both sides , sin^-1sin(x) = sin^-1(0.05), x = sin^-1(0.05) if 0.05 is in degrees, then

using the calculator set it on deg mode x = 2.8659°, and assuming positive direction conterclockwise around the trigonometric circle , then x is in Quadrant I. Also setting the calculator on Rad mode x = 0.05 rad. Converting radians to degrees x = 0.05rad(180 deg/π rad) = 2.8659º, and therefore in Quadrant I