CBSE Class 11 (Commerce) Trigonometric Functions — practice questions
98 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Commerce) Trigonometric Functions in the app →The relationship between degree measure and radian measure is:In a circle of radius r, an arc of length l subtends a central angle θ (in radians) such that:For all real x, the value of sin²x + cos²x is:Convert 40°20′ to radian measure.A wheel makes 360 revolutions in one minute. Through how many RADIANS does it turn in one second?The minute hand of a watch is 1.5 cm long. The distance the tip moves in 40 minutes is (use π = 3.14):The radius of a circle where a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7) is:If two arcs of equal length subtend angles of 65° and 110° at the centres of two circles, the ratio of the radIf cos x = -3/5 and x lies in the THIRD quadrant, then sin x equals:If cot x = -5/12 and x lies in the SECOND quadrant, then sin x equals:In which quadrant is tan x POSITIVE while sin x is NEGATIVE?The DOMAIN of y = tan x is:sin(2nπ + x) equals (for any integer n):The RANGE of y = sec x is:At which of the following x-values is cos x equal to zero?The value of cos(-π/3) is:6 radians converts to approximately:An angle of $90^\circ$ in radians is:The value of $ in(\pi/4)$ is:The identity $ in 2A$ equals:The angle 90° in radians is:The fundamental Pythagorean identity in trigonometry is:The exact value of cos 60° is:The double angle formula sin 2A equals:The general solution of sin θ = 1/2 is:The principal value range of sin⁻¹(x) is:In a triangle ABC, the Law of Sines states:The function f(x) = tan x has vertical asymptotes at:The two units used for measuring angles are the degree and the:A degree is divided into how many minutes?A minute of angle is divided into how many seconds?One radian is the angle subtended at the centre by an arc of length:The radian is defined using a circle whose radius is:A full revolution of the initial side subtends an angle of:In a circle of radius r, an arc of length r subtends an angle of:Equal arcs of a circle subtend at the centre angles that are:In earlier classes, trigonometric ratios were defined for angles that are:Trigonometric ratios were originally ratios of sides of a triangle that is:The definitions are extended to any angle using measure in:The unit circle used to define the functions is centred at the:For a point P with coordinates a and b on the unit circle, cos x equals:Because P lies on the unit circle, cos squared x plus sin squared x equals:Angles that are integral multiples of a right angle are called:The values of sin x and cos x repeat after an interval of:In the unit circle picture, OA is the initial side and OB is the:The coordinates of the quadrantal point A on the unit circle are:The coordinates of the quadrantal point B on the unit circle are:The repeating behaviour of sin and cos makes them functions that are:Cosecant and secant repeat after the same interval as sin and cos, namely:The word trigonometry literally means measuring the sides of a what?An angle formed by anticlockwise rotation of the ray is calledA ray turned clockwise forms an angle that is calledOne degree is defined as what part of a full revolution?How many minutes are there in one degree of angle?An arc as long as the diameter subtends how many radians?A 1 radian angle at the centre is subtended by an arc whose length equals theAn arc of length l on a circle of radius r subtends θ radians. Then θ equalsHalf a full turn measures how many radians?Convert π/3 radians to degree measure.Write 120° using radians.A three-quarter turn corresponds to what radian measure?Write 15° as a multiple of π radians.A 60 degree central angle cuts off an arc of 22 cm. Find the radius (π = 22/7).An arc of 15 cm on a circle of radius 5 cm subtends what angle at the centre?In a circle of radius 10 cm, an angle of 0.5 radian cuts an arc of lengthA 1.5 cm minute hand turns for 20 minutes. How far does its tip move (π = 3.14)?Taking π = 22/7, 6 radians is about how many degrees?Equal arcs subtend 65° and 110° at the centres of two circles. Their radii are in the ratioOn the unit circle, the point for the angle π/2 has coordinatesEvaluating the sine at the angle 3π/2 givesFor every real number x, sin² x + cos² x equalsTangent is defined as which ratio of functions?Which expression equals cosec x?Cotangent can be written as which ratio?The sine of a 30 degree angle isA 45 degree angle has a tangent equal toThe tangent of the angle 60° isAt 30 degrees, the cosecant takes the valueIn which quadrants is sin x positive?Sine and cosine are both negative in which quadrant?Cosine of the angle 120° isFind tan of the obtuse angle 135 degrees.Evaluate cos at the angle −1710 degrees.What is the range of y = cos x?The function tan x is not defined atAs x goes from 0 to π/2, sin xIn the fourth quadrant, as x increases, sin xWhich identity gives cos (x + y)?If cos x = 1/2, then cos 2x equalsThe formula for tan (x + y) isUsing sum formulas, find sin of the angle 75°.Using the difference formula on 45° and 30°, tan 15° isIf sin x = 3/5 with x acute, what is sin 2x?The product 2 sin x cos y can be written asA sixteenth century Malayalam work, Yuktibhasa, contains a proof for the expansion ofThales is credited with finding the height of a great pyramid in Egypt by measuringThe notation sin⁻¹ x for the inverse sine was suggested by astronomerThe main Indian contribution to trigonometry through the siddhantas was the introduction of the