If sin θ = 3/5 (θ in Q1), find cos θ:
A3/4
B4/3
C5/3
D4/5
Answer & Solution
Correct answer: D. 4/5
Using sin²θ + cos²θ = 1: cos²θ = 1 - 9/25 = 16/25
→ cos θ = ±4/5. In Q1, cos > 0, so cos θ = 4/5. (Note: 3-4-5 right triangle.)
Keep practising Unit 3A: Chain Rule and Composite Functions
Browse all Unit 3A: Chain Rule and Composite Functions questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
In which quadrant is sin θ positive and cos θ negative?If tan θ + cot θ = 2, find sin 2θ:General solution of sin θ = sin α:In triangle with sides 7, 8, 9, find cos of the angle opposite to side 9 (use cosine rule)If sin θ = 12/13 (acute), find tan(θ/2):General solution of cos θ = 0:If sin θ + cos θ = 1, then sin θ × cos θ equals:In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states: