Download Worksheet 6.1

Maths Quest Maths B Year 11 for Queensland
WorkSHEET 6.1
Chapter 6 Trigonometric equations WorkSHEET 6.1
1
Trigonometric equations
Name: ___________________________
1
Solve the following trigonometric equations
over the domain 0o  x  360o. Answer correct
to the nearest degree.
(a) sin x = 0.8
4
(b) tan x = 1.9
2
Find exact solutions to each of the following
equations in the domain 0o  x  360o.
1
(a) cos x =
2
3
(b) tan x = 
3
3
Solve each of the following equations over the
domain 0o  x  360o.
(a) sin x = 0
(b) cos x = 1
4
Solve each of the following equations over the
domain 0  x  2  . Give your answers correct
to two decimal places.
(a) sin x = 0.1
(b) cos x =  0.25
4
(a)
4
4
Maths Quest Maths B Year 11 for Queensland
Chapter 6 Trigonometric equations WorkSHEET 6.1
2
5
Solve each of the following over the domain
0  x  2 .
(a) tan x = 1
1
(b) sin x = 
2
4
6
Find the exact solutions to the equation
2 sin x – 1 = 0 in the domain 0  x  2  .
3
7
Solve the equation 5 cos x + 2 = 0 in the
domain 0o  x  360o. Give your answer
correct to the nearest degree.
3
8
Solve the trigonometric equation tan x = 4 over
the domain 0  x  4  .
3
9
Solve the equation 3 tan x + 1 = 0 in the
domain 2   x  2  .
4
10
Solve the equation sin x  1 = 0 in the domain
2   x  2  .
3