The value of the expression is:

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The value of the expression sin⁡3x1+cos⁡x+cos⁡3x1−sin⁡x\frac{\sin^3x}{1+\cos x}+\frac{\cos^3x}{1-\sin x} is: (1) 2cos⁡(π4−x)\sqrt{2}\cos\left(\frac{\pi}{4}-x\right) (2) 2cos⁡(π4+x)\sqrt{2}\cos\left(\frac{\pi}{4}+x\right) (3) 2sin⁡(π4−x)\sqrt{2}\sin\left(\frac{\pi}{4}-x\right) (4) None of these

Related theory

Browse the problem library