Practice Trigonometry Questions and Answers

• Find the value of:  (Sin2 60 ° X cos 30 ° X sec 60°)/tan 30°
• Find the simplified value of:
• If tan θ = (2/√5), then determine the value of cos2 θ
• Determined the simplified value of the given expression:(1 - sin2 q) X (sec q + tan q) X (sec q - tan q) X cosec2 q
• If 3 tan X + cot X = 2√3, then find the value of 6 tan2 X + 2 cot2 X.
• If sin (2x + 50) o = cos (2y - 50) o, such that, 0o < x + y < 90o, then find the value of tan(x + y) .
• If then find the value of 'b'...
• If sec(2A + B) = 2 and cos(A + B) = (1/√2) , find the value of {sec 2B + tan (A + B) } given that 0o < A, B < 90o
• Simplify the given equation:
• If tan 4θ = cot 14θ, then find the value of cos 9θ.
• If cos2B = sin(1.5B - 36 o ) , then find the measure of 'B'.
• Find the simplified value of the expression:sin 2 45 o  + sin 2 60 o  - (1/3) X tan 2 60 o  - cos 2 60 o...
• If cos θ = (4x² – 1)/(1 + 4x²) then find the value of sin q.
• If sec 4A = cosec (3A - 50°), where 4A and 3A are acute angles, find the value of A + 75.
• sin1440° - cot630° - sin120°cos150° is equal to:
• If tan3θ = 1, then find the value of: (sin² 2θ/sec 3θ + 15°)
• A 16-meter-long rope is stretched from the ground to the top of a house, forming a 30° angle with the ground. Determine the height of the house.
• In a triangle ABC, if 5∠A = 3∠B = 15∠C, then find the value of cosA + sin(C + 25 ° )
• Calculate the maximum and minimum value of (8cosA + 15sinA + 15), if 'q' lies in the first quadrant.
• If 2cosA + secA = 2√2 , 0° < < 90°, then the value of 2(sec 4 A + cosec 4 A) is:
• If sec 2A = sin2  60o  + sec 60o  - cos2 30 o , then find the value of (√3tan A + cot 2  A)....
• Find the value of sin 240 °
• If (sin 3A sec 6A = 1) , then what will be the value of cos 6A?
• If 17sin A = 8, where 0
• If √3cosec 2x = 2, then the value of x:
• In triangle ABC, ∠A - ∠B = 16 ° , whereas ∠A - ∠C = 8 ° , find ∠B.
• If cosx/siny = n and cosx/cosy = m, then the value of cos 2 y is: 1. m 2 /(m 2  + n 2 )2. 1/(m 2  + n 2 )3. n 2 /(m 2  + n 2 )4. 0...
• If sin(A + B) = sinAcosB + cosAsinB, then the value of sin75° is
• Calculate the value of sin120 o  + cos180 o  + tan225 o .
• [(sinx – 2sin 3 x)/(2cos 3 x – cosx)] 2  + 1, x ≠45 o , is equal to:
• If secx – tanx = 1/√3, then the value of secx × tanx is:
• ∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.
• Determine the value of following trigonometric expression: ...
• If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
• If 2cosec 2  A – cot 2  A = 5 and 0 o  < A < 90 o , then find the value of ‘A’.
• If 2 sec 3x = 4, then the value of x:
• If 2 sin x = √3, then the value of x:
• If √3 tan x = 3, then the value of x:
• If cos 2x = 1/2, then the value of x: