If ( - 8 ) ( - 3 8 ) ( - 5 8 ) ( - 7 8 )= 4

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If (cos⁡θ−cos⁡π8)(cos⁡θ−cos⁡3π8)(cos⁡θ−cos⁡5π8)(cos⁡θ−cos⁡7π8)=λcos⁡4θ,\left(\cos\theta-\cos\frac{\pi}{8}\right)\left(\cos\theta-\cos\frac{3\pi}{8}\right)\left(\cos\theta-\cos\frac{5\pi}{8}\right)\left(\cos\theta-\cos\frac{7\pi}{8}\right)=\lambda\cos4\theta, find λ\lambda.

Related theory

Browse the problem library