Find an obtuse angle whose sine is

a) 0.25

b) 0.75

c) 0.875

d) 0.3465

Question

Mathematics

Danica Wood

9 May, 14:14

Find an obtuse angle whose sine is

a) 0.25

b) 0.75

c) 0.875

d) 0.3465

+3

Answers (1)

Know the Answer?

Lindsay Ward · Answer 1

a) 165.52 degrees.

b) 131.41 degrees.

c) 118.96 degrees.

d) 159.73 degrees.

Step-by-step explanation:

The sine of an obtuse angle is positive as it is in the second quadrant.

a) Using a calculate the angle whose sine (arcsin) is 0.25 = 14.478 degrees

so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth

b) c) and d) are calculated in the same way.

Find an obtuse angle whose sine isa) 0.25b) 0.75c) 0.875d) 0.3465

Find an obtuse angle whose sine is

a) 0.25

b) 0.75

c) 0.875

d) 0.3465