Practice Trigonometric Ratios In The Unit Circle (2) - Trigonometric Identities and Graphs

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the radius of the unit circle?
Show hintHide hint
Remember, it's called the unit circle.
Question 2.
What does cos(0°) equal?
Show hintHide hint
Think about the x-coordinate on the unit circle.
3Question 3.
What does cos(90°) equal?
- 0
- 1
- −1
Show hintHide hint
Look at where the angle lands on the unit circle.
4Question 4.
True or False: sin(−θ) = sin(θ).
- True
- False
Show hintHide hint
Think about the symmetry of the sine function.
Question 5.
Given an angle of 330°, determine the sine and cosine values using the unit circle.
Show hintHide hint
Consider the reference angle and the quadrant.
Question 6.
Prove that sin²(θ) + cos²(θ) always equals 1 for any angle θ.
Show hintHide hint
Map sine and cosine values back to their unit circle coordinates.

4 more questions in this section. Enroll free to practise them all.