Practice Trigonometry Questions and Answers

• which of the following is equal to [(tan θ +secθ -1)/ (tanθ-secθ +1)]  
• Simplify (cos13°+sin 13°) /(cos13°-sin13°)
• Simplify (cos20°+sin 20°) /(cos20°-sin20°)
• If sin x + cos x = √2 sin x, then the value of sin x - cos x is:
• If tan² 45°- cos² 60° x sin 45° cos 45° cot 30°, then find the value of 'x'.
• If cos² x + sin x = 5/4, then find the value of 'sin x'.
• Simplify: sin 780° sin 480° + cos 120° sin 30°
• If x = r sin A cos B, y = r sin A sin B and z = r cos A, then find x² + y² + z².
• Find the value of sin 30°.
• If tan α = 1/2, tan β = 1/3, then find α + β.
• Simplify: sin (A + B) sin (A - B)
• If √3cosec 2x = 2, then the value of x:
• Find the value of sin265o + sin225o + cos235o + cos255o....
• If cos θ + sec θ = √2, then the value of cos³ θ+ sec³ θ is:
• If 2sin y + cos y = √3 sin y, then find the value of tan y
• If sin(3θ) = cos(2θ), then find the value of θ between 0 and 90 degrees.
• Find the value of tan(75°) using the identity for tan(A+B).
• Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.
• Solve for x in the interval [0, 2π]: 2 sin²x + 3 sinx - 2 = 0.
• If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.
• If sec²x + csc²x = 10, find the value of tan²x + cot²x.
• A tower is 60 meters high. From a point on the ground, the angle of elevation of the top of the tower is 30°. Find the distance of the point from the base...
• Two buildings are 40 meters apart. The height of one building is 20 meters. From the top of the shorter building, the angle of elevation of the top of the ...
• In a right triangle ABC, angle B = 90°. If tan A = 3/4 and the length of the hypotenuse is 25 cm, find the area of the triangle.
• If sin θ + cos θ = 1.2, find the value of sin θ. cos θ.
• If sin(3x - 2o) = cos(2x + 22o), then find the value of: {3tan(4x - 11o) + cosec(5x - 10o)} X cot(2x + 2o)...
• Find the value of (1 - sin2q) X (secq + tanq) X (secq - tanq) X cosec2q
• If tan 4θ = cot 14θ, then find the value of cos 9θ.
• ...
• If (sin 3A sec 6A = 1) , then what will be the value of cos 6A?
• If x = (sin 30 ° + cos 30 ° )/sec 60 ° , then find the value of 4x.
• Find the simplified value of the following expression if a = 30o [(sin2a + cos2a} ÷ seca × sina ÷ cosa]...
• Calculate the value of sec75o
• If sinAo = (√3/2), then find the value of (sin245o + cos230o) × A ÷ 5 given that 0 < A < 90....
• Find the value of:  (Sin2 60 ° X cos 30 ° X sec 60°)/tan 30°
• What is the value of cos75°? 
• If 2cosθ + 8sin2θ = 11, where 0o < θ < 90o, then find the value of cot θ. 
• If {(tanx)/(secx)} × cosx = (1/2), then determine the value of ‘sin2x’.