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 MCQS Questions Test-220 MCQs20 Marks10 Minutes 1 / 20An observer 1.5 m tall is 28.5 m away from a tower and the angle of elevation of the top of the tower from the eye of the observer is 45º. The height of the tower is 27 m 28.5 m 30 m None of these 2 / 20If tan θ + cot θ = 2, then what is the value of (tanθ)^100 + (cotθ)^100? 1 2 3 0.5 3 / 20If 5 sin θ + 12 cos θ = 13, then what is 5 cos θ – 12 sin θ equal to? 1 0 –1 –2 4 / 20If sin (x – y) = 0.5 and cos(x + y) = 1/2, then what is the value of x? 15° 60° 30° 45° 5 / 20What is sin 25° sin 35° sec 65° sec 55° equal to? 0 0.5 1 –1 6 / 20If cos A = tan B, cos B = tan C and cos C = tan A then sin A is equal to (√5−1)/4 None of these (√3−1)/4 (√5−1)/2 7 / 20An aero plane at an altitude of 200 m observes the angles of depression of opposite points on the two banks of a river to be 45º and 60º (When plane is above the river). The width of the river is 400/√3 m (200 + 200/√3) m (200 -200/√3 m 400√3 m 8 / 20What is the value of sin 46° cos 44° + cos 46° sin 44° ? 1 0 2 sin 2° EXPLANATION:From sin (90 - θ) = cos θ sin 46° . cos 44° + cos 46° . sin 44° ⇒ sin 46° . sin (90 - 44)° + cos 46° . cos (90 - 44)° = sin²46°+cos²46° = 1 9 / 20tan1° tan2° tan3° tan4° ... tan89° = 2 0 √3 1 EXPLANATION:tan1° tan2° tan3° tan4°.......tan 89° tan1° tan2° ......tan45°......tan 89° = 1 10 / 20If 0 ≤ θ ≤ π/2 and cos θ + √3 sin θ = 2, then what is the value of θ ? π/4 π/6 π/3 π/2 11 / 20If the given figure, BC = 15 cm and sin B = 4/5 . What is the value of AB? 20 cm 5 cm 4 cm 25 cm 12 / 20Given that sin α = 1/√2 and cos β = 1/√2, then the value of tan(α + β) is 0 √3 1 not defined 13 / 20If θ lies in the first quadrant and cot θ = 63/16, then what is the value of (sin θ + cos θ) ? 2 1 79/65 59/65 14 / 20If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to cos β ? 1:3 √3:1 None of the these 1:√3 15 / 20If ΔABC is right-angled at A, then sec (B+C) is 0 2 1 not defined 16 / 20The value of (sin 30° cos 60° + cos 30° sin 60°) is : cos 90° sin 90° cos 30° sin 0° 17 / 20Suppose 0 < θ < 90°, then for every θ, 4 sin² θ + 1 is greater than or equal to 4 tan θ 4 sin θ 2 4 cos θ EXPLANATION:Let 4 sin² θ + 1 ≥ 4 sin θ 4 sin² θ - 4 sin θ + 1 ≥ 0 (2sinθ−1)² ≥ 0 sin θ ≥ 1/2 18 / 20If tan (A – B) = 1/√3 and tan (A + B) = √3 ,0° < A + B ≤ 90°, A > B.Then the value of A and B is None of these 60°, 30° 45°, 30° 45°, 15 19 / 20If sinx + sin² x = 1, then what is the value of (cosx)^8 + 2(cosx)^6 + (cosx)^4? 4 1 2 0 20 / 20The value of cos 25° – sin 25° is positive but greater than 1 positive but less than 1 0 negative Previous 1 2 3 4 5 6NextRelated Posts Simple & Compound Interest- Quiz (Chapter-2) : 100 Key MCQs to Competitive Exam Success Simplification & Approximation Questions (Chapter-9): Important MCQs to Ace Competitive Exams Speed, Time & Distance Practice MCQs (Chapter-7): 100 Important Questions for Quantum Aptitude PreparationLeave 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
Speed, Time & Distance Practice MCQs (Chapter-7): 100 Important Questions for Quantum Aptitude Preparation