Trigonometric Functions

5 solved problems from JEE previous year papers.

Trigonometric Functions

If cos x + cos y = 1/3 and sin x + sin y = 1/4, Find the Values of cos(x+y), sin(x+y) and tan(x+y)

Given cos x+cos y=1/3 and sin x+sin y=1/4, find cos(x+y), sin(x+y) and tan(x+y) using sum-to-product formulas and the tangent…
Trigonometric Functions

16 sin 20° sin 40° sin 80° Is Equal To

JEE Main 2022 PYQ: evaluate 16 sin20° sin40° sin80° using the identity sin(60°−θ) sinθ sin(60°+θ) = (sin3θ)/4.
Trigonometric Identities

The Value of (sin 70°)(cot 10° cot 70° − 1) Is Equal To

A short JEE Main 2025 trigonometry problem solved by converting cotangents to cosines and sines, then applying the cos(A+B)…
Trigonometric Identities

If sin²10°sin20°sin40°sin50°sin70°=α−1/16sin10°, Find 16+1/α

A five-term trigonometric product from JEE Main 2022, reduced step by step using complementary angles and the sin a cos a…
Trigonometric Identities

Value of 36(4cos²9°-1)(4cos²27°-1)(4cos²81°-1)(4cos²243°-1)

A JEE Main 2023 trigonometric product that telescopes to a single value once each factor is rewritten using the sin 3θ…