Trigonometric ratios and identities

Question 1 of 10

Evaluate sin²60° + cos²60° + 2.

Question 2 of 10

Find the value of cos 300°, correct to 2 decimal places.

Question 3 of 10

From a point 40 m from the foot of a tower the angle of elevation of the top is 35°. Find the height of the tower to 1 decimal place.

Question 4 of 10

Solve 2 sin θ − 1 = 0 for 0° ≤ θ ≤ 360°.

Question 5 of 10

The value of cos 90° is ___

Question 6 of 10

Prove the identity (1 − sin θ)(1 + sin θ) = cos²θ.

Question 7 of 10

cos 180° = −1.

Question 8 of 10

Evaluate sin²30° + cos²30° + 4.

Question 9 of 10

sin 30° = cos 60°.

Question 10 of 10

cos(180° − θ) =