The positive values of x satisfy the equation 8^ 1+| x|+ ^ 2 x+ | ^ 3 x |+ = 4 3 will be…
Mathematics · JEE Advanced · NTA Exams — Trigonometry
The positive values of x satisfy the equation \(8^{1+|\cos x|+\cos ^{2} x+\left|\cos ^{3} x\right|+\ldots \ldots \infty}\)= 43 will be (where |cos x| < 1)
- \(\frac{\pi}{3}\)
- \(\frac{2 \pi}{3}\)
- \(\frac{\pi}{4}\)
- None of these
Answer
(A) 3, (B) 2 3
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If P n = sin n θ + cos n θ where n ∈ W (whole number) and θ ∈ R (real number) The value of 2P 6 – 3P 4 + 10 is
- 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…
- If + = 2 and + = , then tan α equals :
- The least value of cos 2 θ – (6 sin θ . cos θ) + 3 sin 2 θ + 2 is
- 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 non-negative integer n , let f(n)= _ k=0 ^ n ( k+1 n+2 ) ( k+2 n+2 ) _ k=0 ^ n ^ 2 ( k+1 n+2 ) Assuming…
- If k 1 = tan 27θ – tan θ and k _ 2 = 3 + 3 9 + 9 27 , then
- The value of x for which sin (cot –1 (1 + x )) = cos (tan –1 x ) is