Ncert -class 10-Maths- Introduction to Trigonometry Welcome to your Ncert -class 10-Maths- Introduction to Trigonometry 1. 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. 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 false but reason (R) is true. None 2. If A and B are acute angles and sin A = cos B, then find the value of (A + B) . 60º 40º 30º 90º None 3. None 4. 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 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). None 5. Assertion: The value of tanA = 1 for all values of A.Reason: tan 45º = 1. 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 6. If cos(α + β ) = 0, then the value of sin( α - β )is sin α cos β sin 2α cos 2β None 7. The value of θ, for which tan²θ = √3 is: 90 30 15 45 None 8. If two tangents inclined at an angle 60º are drawn to a circle of radius 3 cm, thenthe length of each tangent is 3cm 3√3 cm 6cm 32 √3 cm None 9. None 10. 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 11. 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 12. In triangle XYZ right angled at Y, XY = √3 cm and XZ = 2 cm then the ratiobetween angle XZY and ZXY is: 1: 2 3: 4 2 : 3 2: 1 None 13. PQR is an isosceles right triangle, right-angled at Q then the value of2cosecRsecR is: 4 1 6 5 None 14. 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). None 15. 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). 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. In the right triangle PQR, PR=5cm, PQ=4cm, RQ=3cm then the value of secRis: 4/3 3/5 5/3 3/4 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. 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). Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). None 18. In a right triangle PQR, right-angled at Q, if cotR = 1 then the value of2cosecRsecR is: 1 4 2 2√2 None 19. If sinӨ – cosӨ = 0, then the value of \(sin^{4}\theta + cos^{4}\theta \)is 1/2 3/4 1/4 1 None 20. 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 Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
