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