Mastering Trigonometry for Quantitative Aptitude (Chapter-12): 100 MCQS to Ace Competitive Exams in India December 31, 2023 Quantitative AptitudeTest 1Test 2Test 3Test 4Test 50% Report a question What's wrong with this question?You cannot submit an empty report. Please add some details. Trigonometry MCQS Questions Test-220 MCQs20 Marks10 Minutes 1 / 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 45°, 30° 60°, 30° None of these 45°, 15 2 / 20If the given figure, BC = 15 cm and sin B = 4/5 . What is the value of AB? 25 cm 4 cm 5 cm 20 cm 3 / 20Given that sin α = 1/√2 and cos β = 1/√2, then the value of tan(α + β) is not defined 1 √3 0 4 / 20What is the value of sin 46° cos 44° + cos 46° sin 44° ? 0 1 sin 2° 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 5 / 20If sin (x – y) = 0.5 and cos(x + y) = 1/2, then what is the value of x? 15° 30° 60° 45° 6 / 20The value of (sin 30° cos 60° + cos 30° sin 60°) is : sin 90° sin 0° cos 90° cos 30° 7 / 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 8 / 20tan1° tan2° tan3° tan4° ... tan89° = 1 2 0 √3 EXPLANATION:tan1° tan2° tan3° tan4°.......tan 89° tan1° tan2° ......tan45°......tan 89° = 1 9 / 20If ΔABC is right-angled at A, then sec (B+C) is 2 not defined 1 0 10 / 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 (200 + 200/√3) m (200 -200/√3 m 400/√3 m 400√3 m 11 / 20Suppose 0 < θ < 90°, then for every θ, 4 sin² θ + 1 is greater than or equal to 2 4 cos θ 4 sin θ 4 tan 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 12 / 20If θ lies in the first quadrant and cot θ = 63/16, then what is the value of (sin θ + cos θ) ? 79/65 59/65 1 2 13 / 20The value of cos 25° – sin 25° is positive but greater than 1 negative positive but less than 1 0 14 / 20If tan θ + cot θ = 2, then what is the value of (tanθ)^100 + (cotθ)^100? 2 1 3 0.5 15 / 20If cos A = tan B, cos B = tan C and cos C = tan A then sin A is equal to None of these (√5−1)/2 (√5−1)/4 (√3−1)/4 16 / 20What is sin 25° sin 35° sec 65° sec 55° equal to? –1 0.5 0 1 17 / 20If 0 ≤ θ ≤ π/2 and cos θ + √3 sin θ = 2, then what is the value of θ ? π/3 π/4 π/2 π/6 18 / 20If sinx + sin² x = 1, then what is the value of (cosx)^8 + 2(cosx)^6 + (cosx)^4? 2 0 4 1 19 / 20If 5 sin θ + 12 cos θ = 13, then what is 5 cos θ – 12 sin θ equal to? 0 –2 1 –1 20 / 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 None of the these √3:1 1:3 Previous 1 2 3 4 5 6NextRelated Posts Profit and Loss MCQs (Chapter-4): 100 Essential Questions for Competitive Exams in India Percentage Mock Test (Chapter-3): 100 Important MCQs for Every Competitive Exam Mastering Ratios and Proportions Mock Test (Chapter-6): 100 MCQs for Competitive ExamsLeave 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