Question:

The number of values ofθin the interval(−π2,π2)such thatθ≠nπ5forn=0,±1,±2andtanθ=cot5θas well assin2θ=cos4θis012345678The number of values ofθin the interval(−π2,π2)such thatθ≠nπ5forn=0,±1,±2andtanθ=cot5θas well assin2θ=cos4θis012345678θθθθθ(−π2,π2)(−π2,π2)(−π2,π2)(−π2,π2)((−π2−π2−π2−π2−π−π−−ππ222,,π2π2π2π2πππ222))θ≠nπ5θ≠nπ5θ≠nπ5θθ≠≠nπ5nπ5nπ5nπ5nπnπnnππ555n=0,±1,±2n=0,±1,±2n=0,±1,±2nn==00,,±±11,,±±22tanθ=cot5θtanθ=cot5θtanθ=cot5θtantanθθ==cotcot55θθsin2θ=cos4θsin2θ=cos4θsin2θ=cos4θsinsin22θθ==coscos44θθ000000111111222222333333444444555555666666777777888888A1111111B3333333C5555555D6666666E7777777F8888888G2222222H4444444I0000000?