Ncert -class 10-Maths- Introduction to Trigonometry Welcome to your Ncert -class 10-Maths- Introduction to Trigonometry 1. If x and y are complementary angles, then cos x = cos y tan x = tan y sec x = cosec y sin x = sin y None 2. None 3. If two tangents inclined at an angle 60º are drawn to a circle of radius 3 cm, thenthe length of each tangent is 3cm 6cm 3√3 cm 32 √3 cm None 4. In triangle XYZ right angled at Y, XY = √3 cm and XZ = 2 cm then the ratiobetween angle XZY and ZXY is: 3: 4 2: 1 1: 2 2 : 3 None 5. Assertion:- For the value of θ = 60º, for sin 2θ = 1,where 0º < θ < 90ºReason- for any angle (θ), sin²θ + cos²θ =1. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false Assertion (A) is false but reason (R) is true Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A) None 6. Assertion : The value of sin θ = 4/3 is not possible. Reanson : Hypotenuse is the largest side in any right angled triangle. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is false but reason (R) is true Assertion (A) is true but reason (R) is false. None 7. If cos(α + β ) = 0, then the value of sin( α - β )is sin α cos 2β cos β sin 2α None 8. In a right triangle PQR, right-angled at Q, if cotR = 1 then the value of2cosecRsecR is: 4 2 2√2 1 None 9. Assertion : If x sin³θ + y cos³θ = sinθ cosθ and x sinθ = y cosθ, then x²+ y² = 1Reason : For any value of θ, sin²θ + cos²θ = 1. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. None 10. None 11. The value of θ, for which tan²θ = √3 is: 15 30 90 45 None 12. In the right triangle PQR, PR=5cm, PQ=4cm, RQ=3cm then the value of secRis: 3/5 5/3 3/4 4/3 None 13. If A and B are acute angles and sin A = cos B, then find the value of (A + B) . 40º 30º 90º 60º None 14. Assertion(A):- If x = a cos 0 and y = b sin 0, then b²x² + a²y² = a²b².Reason(R)- b²x² + a²y² = a²b² where x = a and y = 0. Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). None 15. Assertion : sin² 67º + cos² 67º = 1Reanson : For any value of θ ,sin² θ +cos² θ =1 Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is false but reason (R) is true. Assertion (A) is true but reason (R) is false. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). None 16. PQR is an isosceles right triangle, right-angled at Q then the value of2cosecRsecR is: 4 1 5 6 None 17. Assertion:- The value of cos60º cosec30º– cot60º cot30º is 0Reason- complementary relations are cosθ=sin (90º- θ), cosecθ = sec (90º- θ), cotθ = tan(90º- θ). Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) None 18. If sinӨ – cosӨ = 0, then the value of \(sin^{4}\theta + cos^{4}\theta \)is 1 1/4 1/2 3/4 None 19. Assertion: The value of SinA = CosA for all A.Reason: Sin 45º = Cos 45º = 1/√2 Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true but reason(R) is not the correct explanation of assertion (A). Both assertion (A) and reason (R) are true and reason(R) is the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. None 20. Assertion: The value of tanA = 1 for all values of A.Reason: tan 45º = 1. . Both assertion (A) and reason (R) are true but reason(R) is not the correct explanation of assertion (A). Assertion (A) is true but reason (R) is false. Assertion (A) is false but reason (R) is true. Both assertion (A) and reason (R) are true and reason(R) is the correct explanation of assertion (A). 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