Trigonometry — practice questions, page 6
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QuestionThe fundamental period of the function f(θ) = tan3θ is:QuestionAn arc of a circle of radius 12 cm subtends an angle of 30° at the centre. The length of the arc is:QuestionFor every angle θ at which both sides are defined, cotθ − tanθ is equal to:QuestionTwo straight roads leave a junction at an angle of 120° to each other. One car drives 30 km along…QuestionIf cosθ = 7/25 and θ is acute, then cos(θ/2) equals:QuestionThe three angles of a triangle are in the ratio 1 : 2 : 3. The sides opposite them are in the ratio:QuestionWhich one of the following is NOT a correct identity?QuestionIf θ lies in the second quadrant, which of these products is positive?QuestionIf x = a·cos³θ and y = b·sin³θ, the relation between x and y that no longer contains θ is:QuestionThe sides of a triangle measure 7 cm, 8 cm and 13 cm. Its largest angle is:QuestionTwo sides of a triangle are 6 cm and 10 cm, and the angle between them is 150°. The area of the…QuestionIf cotθ = 8/15 and θ is acute, then sinθ + cosθ equals:QuestionAs θ runs over all real values, the greatest value of sinθ + cos2θ is:QuestionThe value of cos70° + cos50° − cos10° is:QuestionIf a·cos²θ + b·sin²θ = c, then tan²θ equals:QuestionA chord of a circle of radius 10 cm subtends an angle of 60° at the centre. The length of the…QuestionIf A, B and C are the angles of a triangle, then sin2A + sin2B + sin2C equals:QuestionWhich of these four angles is the largest?QuestionA regular hexagon is inscribed in a circle of radius 6 cm. Its area is:QuestionIf cosec(3θ + 10°) = sec(θ + 20°) and both of these angles are acute, then θ equals:QuestionUsing the half-angle formula tan(θ/2) = (1 − cosθ)/sinθ with θ = 45°, the exact value of tan22.5°…QuestionAs θ varies over all real values, the greatest value of 1/(3 − 2cosθ) is:QuestionIf cosθ − sinθ = √2·sinθ, then cosθ + sinθ equals:QuestionIn any triangle ABC, the expression b·cosC + c·cosB simplifies to:QuestionAn isosceles triangle has two equal sides of 10 cm enclosing an angle of 120°. Its third side…
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