Trigonometric graphs

The following diagram shows a sketch of y = tan x for values of x from 0° to 360°.

Given that tan 23° = 0·4245, correct to 4 decimal places, write down all the solutions of the equation

tan x = – 0·4245

for values of x from 0° to 360°.

The following diagram shows a sketch of y = cos x for values of x from 0° to 360°.

Sketch the curve y cosx on the axes below, for values of x from 0° to 360°.

You must indicate any important values on both axes.

Solve the equation.2cosx 1

Give all answers in the range x = 0° to x = 360°.

The following diagram shows a sketch of y sin x for values of x from 0° to 360°.

Given that sin62° = 0·8829, correct to 4 decimal places, write down all the solutions of the equation

for values of x from 0° to 360°.

Use the following axes to sketch the graph of y –sin x for values of x from 0° to

360°. You must indicate any important values on the y-axis.

Use the following axes to sketch the graph of y sin x + 1 for values of x from 0°

to 360°. You must indicate any important values on the y-axis.

The following diagram shows a sketch of y cosx for values of x from 0° to 360°.

Given that cos25 0 9063, correct to 4 decimal places, write down all the solutions of the equation

for values of x from 0° to 360°.

Sketch the curve y sinx, for values of x in the range x 0 to x 360.

Sketch the curve y tanx, for values of x in the range x 0 to x 360.

The following diagram shows a sketch of y = sin x for values of x from 0° to 360°.

Given that sin 38° = 0·6157, correct to 4 decimal places, write down all the solutions of the equation

sin x = – 0·6157

for values of x from 0° to 360°.

Sketch the curve y = cos x, for values of x in the range x = 0° to x = 360°.

You must indicate any important values on the axes.

Solve the equation cosx = 0.7.

Give all solutions in the range x = 0° to x = 360°.

Sketch the curve y = sin x on the axes below.

You must indicate any important values on the y-axis.

Solve the equation sinx = –0.5.

Give all answers in the range x = –180° to x = 180°.

Sketch the curve y = tan x, for values of x in the range x = – 180° to x = 180°.

Given that cos 21° = 0.9336, correct to 4 decimal places, write down all the solutions of the equation

for values of x from 0° to 360°.

Sketch the curve y = sin x, for values of x in the range x = 0° to x = 360°.

Solve each of the following equations. Give all answers in the range x = 0° to x = 360°.

sinx = 0.3

sinx + 1 = 0

Using the axes below, sketch the graph of y = sin x for values of x from 0° to 360°.

You must label any important values on both axes.