If , then the value of lies in the…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If y+32y+5=sin⁡2x+2cos⁡x+1\frac{y+3}{2y+5}=\sin^2x+2\cos x+1, then the value of yy lies in the interval (1) (−∞,−83]\left(-\infty,-\frac{8}{3}\right] (2) [−125,∞)\left[-\frac{12}{5},\infty\right) (3) [−83,−125]\left[-\frac{8}{3},-\frac{12}{5}\right] (4) (−∞,−83]∪[−125,∞)\left(-\infty,-\frac{8}{3}\right]\cup\left[-\frac{12}{5},\infty\right)

Related theory

Browse the problem library