AP EAMCET Trigonometry: Trigonometric Ratios upto Transformations — practice questions
83 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP EAMCET Trigonometry: Trigonometric Ratios upto Transformations in the app →In a right triangle, sin A is the ratio of which two sides?Cosine of an acute angle in a right triangle is found by dividing which sides?The tangent of an acute angle in a right triangle equals which ratio?Which ratio is the reciprocal of sine?A right triangle has legs 6 and 8. Find the sine of its smaller acute angle.A 13 m ladder leans on a wall with its foot 5 m from the wall. Find the cosine of the angle at the ground.A 10 m ramp rises at 30° to level ground. How high does its top stand?An 8 m ladder makes 60° with the ground. How high on the wall does it reach?The sun is 60° above the horizon and a pole casts a 20 m shadow. How tall is the pole?For which of these angles is the tangent undefined?Evaluate sin²30° + cos²30°.The sum sin²θ + cos²θ is equal to which value for every θ?Tangent of an angle can be written in terms of sine and cosine as which ratio?If sec θ = 2 and θ is acute, what is tan θ?Simplify (1 − sin²θ) sec²θ.Simplify sinθ/(1 + cosθ) + (1 + cosθ)/sinθ.Find the value of (sec θ − tan θ)(sec θ + tan θ).The expression sin(90° − θ) equals which of these?What is the fundamental period of tan x?How many degrees correspond to π radians?One radian is approximately how many degrees?Express 5π/6 radians in degrees.Express 225° in radians.Expand cos(A + B).Find the exact value of tan 15°.Evaluate cos 80° cos 20° + sin 80° sin 20°.Evaluate (tan 20° + tan 25°)/(1 − tan 20° tan 25°).If A + B = 45°, find the value of (1 + tan A)(1 + tan B).Which one of these is NOT equal to cos 2A?If cos θ = 3/5, what is cos 2θ?Which expression equals cos²A?The product 2 sin A sin B converts to which difference?Sum of cosines cos C + cos D equals which product?Evaluate (sin 40° + sin 20°)/(cos 40° + cos 20°).Find the value of sin 10° sin 50° sin 70°.If A, B, C are the angles of a triangle, tanA + tanB + tanC equals which expression?If A + B + C = 180°, sin 2A + sin 2B + sin 2C equals which expression?What is the maximum value of 3 sin x + 4 cos x?Which 5th century Indian mathematician further documented the properties of the sine?Sumerian astronomers divided the circle into how many degrees?Who was the first to use the word trigonometry in print?Which functions did Fourier use to describe any continuous periodic function?In triangle ABC with opposite sides a, b, c, a/sin A is equal to which ratio?In triangle ABC, which expression gives c² by the cosine rule?Two sides of a triangle are 6 and 8 with an included angle of 30°. Find its area.If angle C is 90°, the cosine rule reduces to which result?In the mnemonic SOH-CAH-TOA, what does TOA stand for?In school trigonometry, perpendicular and base mean which sides respectively?According to Euler's formula, e^(ix) equals which expression?Which expression gives cos x in terms of complex exponentials?The Maclaurin series of cos x begins with which terms?Find sin 45° × cos 45°.180° equals how many radians?If sin θ < 0 and cos θ > 0, θ lies in which quadrant?Secant is the reciprocal of which function?Using 45° + 30°, find sin 75°.If sin x + cos x = √2 for acute x, find x.Which is the correct formula for sin 3θ?Write sin 5θ + sin 3θ as a product.Find cos θ + cos(120° + θ) + cos(240° + θ).Find tan 9° − tan 27° − tan 63° + tan 81°.If A + B = 90°, what is tan A × tan B?If sin θ = 1/2, what is 3 sin θ − 4 sin³θ?The value of cos 20° cos 40° cos 80° is:The product 2 sin 3x cos x can be written as:The difference cos 7x − cos 3x equals:The value of sin 45° sin 90° sin 135° is:The product of sin(kπ/6) for k = 1, 2, 3, 4, 5 equals:If tan A = 1/2 and tan B = 1/3, then A + B in degrees is:Given tan A = 3 and tan B = 1/2, what is tan(A − B)?For acute angles A and B with sin A = 3/5 and cos B = 5/13, sin(A + B) is:If sin θ = 3/5 with θ acute, then cos 2θ equals:In the third quadrant, which pair of ratios is positive?The minimum value of sin x − cos x over all real x is:If cos θ = 2/3, the value of cos 2θ is:If sin θ = 5/13 and θ is acute, what is the value of cos θ?A ladder makes tan θ = 3/4 with the ground, θ acute. What is sec θ?Which expression equals 3 sin θ - 4 sin³θ for every θ?Which expression equals 2 sin²(θ) for every θ, by the power-reduction idea?What is the value of sin 75° cos 15° + cos 75° sin 15°?Simplify sin 50° cos 20° - cos 50° sin 20°.Evaluate sin 105° + sin 15° using the sum-to-product rule.If sin θ + cos θ = 1, and 0 ≤ θ ≤ π/2, which pair of values of θ is possible?