Mastering Trigonometry for Quantitative Aptitude (Chapter-12): 100 MCQS to Ace Competitive Exams in India December 31, 2023 Quantitative AptitudeTest 1Test 2Test 3Test 4Test 5 Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. 0% Trigonometry Practice Questions Exam-420 MCQs20 Marks10 Minutes 1 / 20If tanθ= (x sinϕ) / (1−xcosϕ) and, tan ϕ = (y sin θ)/ (1−y cos θ) then x/y = sinϕ / sinθ sinθ/sinϕ sinθ / (1−cosθ) sinθ / (1−cosϕ) 2 / 20The expression sin²x+cos²x – 1 = 0 is satisfied by how many values of x? Infinite values of x No value of x Only one value of x Two values of x 3 / 20If A, B and C are interior angles of a ΔABC then cos(B+C)/2 is equal to -sin A/2 -tan A/2 cos A/2 sin A/2 4 / 20cos 1° × cos 2° × cos 3° ×……..× cos 180° is equal to: -1 1 0 ½ 5 / 20The general solution of √3 cos x – sin x = 1 is x = π/3 + n × π + (-1)n × (π/6) x = n × π + (-1)n × (π/6) x = π/3 – n × π + (-1)n × (π/6) x = π/3 – n × π + (π/6) EXPLANATION:√3 cos x-sin x=1 ⇒ (√3/2)cos x – (1/2)sin x = 1/2 ⇒ sin 60 × cos x – cos 60 × sin x = 1/2 ⇒ sin (x – 60) = 1/2 ⇒ sin (x – π/3) = sin 30 ⇒ sin (x – π/3) = sinπ/6 ⇒ x – π/3 = n × π + (-1)n × (π/6) {where n ∈ Z} ⇒ x = π/3 + n × π + (-1)n × (π/6) 6 / 20Assume the Earth to be a sphere of radius R. What is the radius of the circle of latitude 40° S? R sin 80° R sin 40° R tan 40° R cos 40° 7 / 20Which of the following is correct for some θ, such that 0° ≤θ< 90° 1/ sec θ < 1 1/ cos θ < 1 sec θ = 0 1/ sec θ> 1 8 / 20Which of the following numbers can form sides of a right angled triangle? 10 cm , 6 cm , 8 cm 4 cm , 5 cm , 9 cm 13 cm , 27 cm , 15 cm 2 cm , 17 cm , 9 cm 9 / 20The value of cot² 30°−2 cos² 60°−3/4 sec² 45°−4 sin² 30° is 2 1 -1 0 10 / 20For what value of θ is (sin θ + cosec θ) = 2.5, where 0 < θ < 90°? 45° 90° 30° 60° 11 / 20Ratios of sides of a right triangle with respect to its acute angles are known as trigonometric identities trigonometry trigonometric ratios of the angles none of these 12 / 20What is the minimum value of 9tan²θ + 4cot²θ ? 9 12 13 6 13 / 20If y sin 45° cos 45° = tan² 45° – cos² 30°, then y = ? 10 -2 12 –1 14 / 20If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is π/3 3π/2 π/2 2π/3 EXPLANATION:Given, the sides of a triangle are 13, 7, 8 Since greatest side has greatest angle, Now Cos A = (b² + c² – a²)/2bc ⇒ Cos A = (7² + 8² – 13²)/(2×7×8) ⇒ Cos A = (49 + 64 – 169)/(2×7×8) ⇒ Cos A = (113 – 169)/(2×7×8) ⇒ Cos A = -56/(2×56) ⇒ Cos A = -1/2 ⇒ Cos A = Cos 2π/3 ⇒ A = 2π/3 So, the greatest angle is = 2π/3 15 / 20If p cot θ = √(q²-p²), then the value of sin θ is- (θ being an acute angle) q/2p 0 p/q q/3p 16 / 20If [sin a + cosec a]² +[cos a + sec a]² = k + tan²a + cot²a , then the value of k is equal to 0 5½ 7 6 17 / 20[cosA/cot A] + sin A= ? sec A 2 cos A cot A 2 sin A 18 / 2016 If 2 cot θ = 3, then what is (2cosθ−sinθ)/(2cosθ+sinθ) equal to? 1/3 1 1/4 1/2 19 / 205 tan² A – 5 sec² A + 1 is equal to 1 6 -5 -4 20 / 20If a sin 45° = b cosec 30°, what is the value of (a^4)/(b^4)? 43 54 44 76 Previous 1 2 3 4 5 6NextRelated Posts Permutations & Combinations Practice Test (Chapter-8): 100 MCQs for Competitive Exams in India Number System MCQs Test (Chapter-5) : Key 100 Questions to Competitive Exam Success Mastering Clocks & Calendars (Chapter-11): Important 100 Competitive Exam Aptitude QuestionsLeave a Reply Cancel Reply Save my name, email, and website in this browser for the next time I comment. I have read and accepted the Privacy Policy * Δ