Introduction to TrigonometryImportant Questions If 1 + sin^2 θ = 3 sin θ cos θ, then prove that tan θ = 1 or 1/2 Read More » Find the value of x if 2 cosec2 30 + x sin2 60 – 3/4 tan2 30 = 10 Read More » If tan (A + B) = √3 and tan (A – B) = 1/(√3) ; 0° < A + B < 90°; A > B, find A and B. Read More » Prove that: tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + sec θ cosecθ Read More » Prove that root[(sec A – 1)/(sec A + 1)] + root[(sec A + 1)/(sec A – 1)] = 2 cosec A Read More » If a cos θ + b sin θ = m and a sin θ – b cos θ = n, then prove that a2 + b2 = m2 + n2 Read More » If sin θ – cos θ = 0, then find the value of sin^4 θ + cos^4 θ. Read More » Evaluate 2sec^2 θ + 3 cosec^2 θ – 2 sin θ cos θ if θ = 45. Read More » If θ is an acute angle and sin θ = cos θ, find the value of tan^2 θ + cot^2 θ – 2. Read More » Evaluate (5/cot^2 30) + (1/ sin^2 60) – cot^2 45 + 2 sin^2 90 Read More » Prove that sec A (1- sin A)(sec A + tan A) = 1 Read More » Prove that: (sin A – 2 sin^3 A)/(2cos^3 A – cos A) = tan A Read More » If A and B are acute angles such that sin(A-B) = 0 and 2 cos (A+B) -1 = 0, then find angles A and B. Read More » Evaluate (5cos^2 60 + 4 sec^2 30 – tan ^2 45) / (sin^2 30 + cos^2 30) = 1 + sin θ cos θ Read More » Prove that: cos^2 θ/(1 – tan θ) + sin^3 θ/(sin θ – cos θ) = 1 + sin θ cos θ Read More » Prove that: sin θ / (1 + cos θ) + (1 + cos θ) / sin θ = 2 cosec θ Read More » Prove that: (1/cosθ – cos θ) (1/(sin θ) – sin θ) = 1/(tan θ+ cot θ) Read More » If Cos A + Cos^2 A = 1, then find the value of Sin^2 A + Sin^4 A. Read More » If 4 cot^2 45° — sec2^ 60° + sin^2 60° + p = 3/4 then find the value of p. Read More » Prove that, 2(sin^6 θ + cos^6 θ) – 3 (sin^4 θ + cos^4 θ) +1 = 0 Read More » If tan theta = 1/root7, then show that = (cosec sq theta – sec sq theta)/(cosec sq theta + sec sq theta) = 3/4. Read More » If sin θ + sin^2 θ = 1, then prove that cos^2 θ + cos^4 θ = 1. Read More » Prove that (cosecA – sinA) (secA-cosA) = 1/(cotA+tanA) Read More » Prove that, (tanθ + secθ-1)/(tanθ – secθ + 1) = (1 + sinθ)/cosθ Read More » If Sin α = 1/√2 and Cot β = √3, then find the value of Cosec α + Cosec β. Read More » If Sin θ + Cos θ = √3, then find the value of Sin θ . Cos θ Read More »
If A and B are acute angles such that sin(A-B) = 0 and 2 cos (A+B) -1 = 0, then find angles A and B. Read More »
If tan theta = 1/root7, then show that = (cosec sq theta – sec sq theta)/(cosec sq theta + sec sq theta) = 3/4. Read More »
