Trigonometry
Trigonometrical identities and equations; trigonometrical functions; inverse trigonometrical functions and their properties; heights and distances.
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Take a full mock →Q1 · Trigonometry · EASY
If sin θ + cos θ = √2, then the value of sin θ cos θ is:
Q2 · Trigonometry · EASY
The general solution of the equation tan θ = -1 is:
Q3 · Trigonometry · MEDIUM
If tan⁻¹(1/2) + tan⁻¹(1/3) = tan⁻¹(k), then the value of k is:
Q4 · Trigonometry · MEDIUM
The value of sin 20° sin 40° sin 60° sin 80° is:
Q5 · Trigonometry · HARD
A tower stands vertically on the ground. From a point on the ground at a distance of 20 m from the foot of the tower, the angle of elevation of the top is 60°. From another point on the ground at a distance of 10 m from the first point and in line with the tower, the angle of elevation is 30°. If both points are on the same side of the tower, then the height of the tower (in meters) is: