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