Ncert -class 10-Maths- Introduction to Trigonometry Welcome to your Ncert -class 10-Maths- Introduction to Trigonometry 1. 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 3cm 6cm None 2. 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 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 3. 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 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). 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 4. If sinӨ – cosӨ = 0, then the value of \(sin^{4}\theta + cos^{4}\theta \)is 1/4 1 1/2 3/4 None 5. In triangle XYZ right angled at Y, XY = √3 cm and XZ = 2 cm then the ratiobetween angle XZY and ZXY is: 1: 2 2: 1 2 : 3 3: 4 None 6. If A and B are acute angles and sin A = cos B, then find the value of (A + B) . 90º 60º 30º 40º None 7. If x and y are complementary angles, then sec x = cosec y tan x = tan y cos x = cos y sin x = sin y None 8. 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 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 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. 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 10. 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 true but reason (R) is false. Assertion (A) is false but reason (R) is true None 11. 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. 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). None 12. None 13. If cos(α + β ) = 0, then the value of sin( α - β )is sin 2α cos 2β sin α cos β None 14. In a right triangle PQR, right-angled at Q, if cotR = 1 then the value of2cosecRsecR is: 2√2 4 1 2 None 15. The value of θ, for which tan²θ = √3 is: 30 45 90 15 None 16. PQR is an isosceles right triangle, right-angled at Q then the value of2cosecRsecR is: 4 5 1 6 None 17. 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. 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 18. 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. 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). None 19. None 20. In the right triangle PQR, PR=5cm, PQ=4cm, RQ=3cm then the value of secRis: 3/4 5/3 3/5 4/3 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.
