Find all the solutions of $$\sin^5x+\cos^3x=1$$
Trial:$x=0$ is a solution of this equation. How can I find other solutions (if any). Please help.
Trigonometry – How to Find All Solutions of sin^5(x) + cos^3(x) = 1
rootsself-learningtrigonometry
rootsself-learningtrigonometry
Find all the solutions of $$\sin^5x+\cos^3x=1$$
Trial:$x=0$ is a solution of this equation. How can I find other solutions (if any). Please help.
Best Answer
Hint: $ \sin^5 x\leq \sin^2 x$ and $ \cos ^3 x \leq \cos^2 x $.
Hint: Pythagorean Identity for trigonometric functions.