Review Unit circle - sine, cosine www.smallmathapps.co.uk 1 Question 1 Convert 30° into radians. 2 Question 1 - Answer Topic: Degrees - radians 30° are π/6 radians 3 Question 2 Convert 4π/3 radians into degrees. 4 Question 2 - Answer Topic: Degrees - radians 4π/3 radians are 240° 5 Question 3 In the unit circle, sine is the projection of the radius to: a) the x-axis b) the y-axis b) the origin d) line x = 1 6 Topic: Unit circle - sine Question 3 - Answer In the unit circle, sine is the projection of the radius to: a) the x-axis b) the y-axis b) the origin d) line x = 1 7 Question 4 What is the value of sin60° ? 8 Question 4 - Answer Topic: Unit circle - sine sin60° = √3/2 9 Question 5 In the unit circle, cosine is the projection of the radius to: a) the x-axis b) the y-axis b) the origin d) line x = 1 10 Question 5 - Answer In the unit circle, cosine is the projection of the radius to: a) the x-axis b) the y-axis b) the origin d) line x = 1 11 Question 6 What is the value of cos45° ? 12 Question 6 - Answer cos45° = 1/√2 or √2/2 13 Question 7 .What is the value of sin(-60°) ? 14 Question 7 - Answer Topic: Opposite angles sin(-60°) = sin(360°- 60°) = sin300° = -√3/2 15 Question 8 .What is the value of sin120° ? 16 Question 8 - Answer Topic: Supplementary angles sin120° = sin(180° - 60°) = sin60° = √3/2 17 Question 9 What is the value of cos135° ? 18 Question 9 - Answer Topic: Supplementary angles cos135° = cos(180° - 45°) = - cos45° = -1/√2 or -√2/2 19 Question 10 . Is cos30° = sin60° ? 20 Question 10 - Answer Topic: Complementary angles Yes, since 30° + 60° = 90° (complementary angles) and cos30° = sin60° 21 Question 11 . How many degrees is 1 radian? 22 Question 11 - Answer Topic: Degrees - radians . How many degrees is 1 radian? π/1 = 180°/x ⇒ x = 180°/π = 57.3° 23
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