Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Very Hard Trigonometric Equations

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Solve for x: sin(x) = 0.5

a)

x = π/4 or x = 45 degrees.

b)

x = π/3 or x = 60 degrees.

c)

x = π/2 or x = 90 degrees.

d)

x = π/6 or x = 30 degrees

2.

Solve for x: cos(x) = -0.8

a)

-2.4981 radians or -143.13 degrees

b)

1.4981 radians or 85.87 degrees

c)

2.4981 radians or 143.13 degrees

d)

0.8 radians or 45.87 degrees

3.

Solve for x: tan(x) = 1

a)

x = π/2 or 90 degrees.

b)

x = π/6 or 30 degrees.

c)

x = π/3 or 60 degrees.

d)

x = π/4 or 45 degrees

4.

Solve for x: sec(x) = 2

a)

x = arcsin(1/2)

b)

x = arccos(2)

c)

x = arctan(2)

d)

x = arccos(1/2)

5.

Solve for x: csc(x) = -1

a)

-π/2 or -90 degrees

b)

3π/2 or 270 degrees

c)

π/4 or 45 degrees

d)

π/2 or 90 degrees

6.

Solve for x: cot(x) = -0.5

a)

x = arctan(1)

b)

x = arctan(2)

c)

x = arctan(0.5)

d)

x = arctan(-2)

7.

Solve for x: sin(2x) = 0.7

a)

x = arcsin(0.7)

b)

x = arcsin(0.5)

c)

x = arcsin(0.8)

d)

x = arcsin(1.2)

8.

Solve for x: cos(2x) = -0.3

a)

x = 3.14 radians or x = 180 degrees.

b)

x = 1.87 radians or x = 107.13 degrees

c)

x = 0.92 radians or x = 52.79 degrees.

d)

x = 2.35 radians or x = 134.65 degrees.

9.

Solve for x: tan(2x) = 1.5

a)

x = 1.5 radians or x = 86.41 degrees.

b)

x = 0.7854 radians or x = 45 degrees.

c)

x = 2.3562 radians or x = 135 degrees.

d)

x = 0.9828 radians or x = 56.31 degrees

10.

Solve for x: sin(x) + cos(x) = 1

a)

x = pi/6 + n*pi, x = 2*pi*n.

b)

x = pi/2 + n*pi, x = 2*pi*n

c)

x = pi/3 + n*pi, x = 2*pi*n.

d)

x = pi/4 + n*pi, x = 2*pi*n.