Assertion : The function f (x) = min sin x, cos x takes the value 4 5 twice when x varies…
Mathematics · JEE Advanced · NTA Exams — Trigonometry
Assertion : The function f (x) = min {sin x, cos x} takes the value \(\frac{4}{5}\) twice when x varies from \(\frac{20 \pi}{3} \text { to } \frac{43 \pi}{6} .\)
Reason : The periods of sin x and cos x are equal to 2π.
Reason : The periods of sin x and cos x are equal to 2π.
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false
- If Assertion is false, Reason is true
Answer
(D) If Assertion is false, Reason is true
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If sinα, sin β and cosα are in G.P. then roots of the equation x 2 + 2x cot β + 1 = 0 are always
- The no. of real solutions of ^ -1 x(x+1) + ^ -1 x^ 2 +x+1 = 2 is
- In a triangle ABC, angle A is greater than angle B. if the measures of angles A and B satisfy the equation 3…
- The total number of real solutions of the equation = ^ -1 (2 )- 1 2 ^ -1 ( 6 9+ ^ 2 ) is (Here, the inverse…
- Column - I Column - II ( a) ^ 2 52 1^ 2 - ^ 2 22 1^ 2 (p) 1 (B) ^ 2 3 5 + ^ 2 4 5 (Q) 3- 3 4 2 (C) sin 24° +…
- Given cos 2 m θ cos 2 m + 1 θ .............. cos 2 n θ = 2^ n +1 2^ n - m +1 2^ m , where 2 m θ ≠ kπ, n, m, k…
- For any positive integer n , let S n : (0, ∞) → be defined by S_ n (x)= _ k=1 ^ n ^ -1 ( 1+k(k+1) x^ 2 x )…
- The least value of cos 2 θ – (6 sin θ . cos θ) + 3 sin 2 θ + 2 is