New Zealand
Level 7 - NCEA Level 2

# Trigonometry and gradients of lines

## Interactive practice questions

A line is inclined in the positive direction along the number plane at an angle of $33$33° to the $x$x axis. What is the gradient of the line?

tan $33$33°

A

cos $33$33°

B

sin $33$33°

C

tan $33$33°

A

cos $33$33°

B

sin $33$33°

C
Easy
Less than a minute

Find the gradient of a line that is inclined at an angle of 50° to the positive $x$x-axis . Write your answer correct to 1 decimal place.

What is the angle of inclination of a line to the $x$x axis, whose gradient is $4$4. Write your answer correct to the nearest degree.

The given line has an angle of inclination of $\theta$θ with the positive $x$x-axis.

### Outcomes

#### M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

#### 91259

Apply trigonometric relationships in solving problems