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Trigonometric Functions (Class 11 — ~20% weight)

Trigonometric identities, equations, sum/difference and multiple-angle formulas.

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Q1 · Trigonometric Functions (Class 11 — ~20% weight) · EASY
If sin θ + cos θ = √2, then find the value of sin θ · cos θ.
Q2 · Trigonometric Functions (Class 11 — ~20% weight) · MEDIUM
What is the value of tan 15° + cot 15°?
Q3 · Trigonometric Functions (Class 11 — ~20% weight) · HARD
If cos A + cos B = 1/2 and sin A + sin B = 1/4, then find the value of cos(A - B).
Q4 · Trigonometric Functions (Class 11 — ~20% weight) · EASY
If sin θ + cos θ = √2, then the value of sin θ · cos θ is: