Trig ratios, complementary angles, identities, heights and distances.
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Q1 · Trigonometry · EASY
If sin θ = 3/5, then what is the value of cos θ? (Assume θ is an acute angle)
Q2 · Trigonometry · MEDIUM
A ladder 10 m long reaches a window 8 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 6 m high. What is the width of the street?
Q3 · Trigonometry · MEDIUM
If tan(A + B) = √3 and tan(A - B) = 1/√3, where A and B are acute angles, then what is the value of A?
Q4 · Trigonometry · HARD
If sin θ + cos θ = √2, then what is the value of sin θ × cos θ?
Q5 · Trigonometry · MEDIUM
If sin θ = 3/5, what is the value of cos θ for an acute angle θ?