Important Questions on Trigonometric Functions What is the value of 1 3 + cos 60 0 ? The value of cos 3 π 8 . cos 3 π 8 + sin 3 π 8 . sin 3 π 8 What is the value of tan 30 o + 3 2 Let f k x = 1 k sin k x + cos k x x ∈ R k ≥1 f 4 x - f 6 x If tan θ = 2 3 3 sin θ - 4 cos θ 3 sin θ + 4 cos θ What is the value of 1 2 − sec 30 o The value of sin 2 51 ° + sin 2 39 ° If cosec θ = p + q p - q p ≠ q , p ≠ 0 , cot π 4 + θ 2 Let P = θ : sin θ - cos θ = 2 cos θ Q = θ : sin θ + cos θ = 2 sin θ , If 10 sin 4 α + 15 cos 4 α = 6 , α ∈ - π 2 , π 2 , 27 cosec 6 α + 8 sec 6 α If x sin 3 θ + y cos 3 θ = sin θ cos θ x sin θ = y cos θ x 2 + y 2 If A = sin θ sin θ , B = cos θ cos θ 99 π 2 ≤ θ ≤ 100 π 2 ∆ A B C B cos A = 8 17 c o t C If A n = sin n α + cos n α A 1 A 4 + A 2 A 5 = If sec θ = 13 12 , θ 4 th tan θ × cosec θ × sin θ × cos θ = The angle of elevation of the top of a vertical tower from a point A, due east of it is 45 o 30 o 54 2 m If an angle A Δ A B C 5 cos A + 3 = 0 9 x 2 + 27 x + 20 = 0 The expression tanA 1 - cotA + cotA 1 - tanA 
