How can I prove that $\cos(\sin x)>\sin(\cos x)$ when $0\leq x\leq \pi$
2648
Show that the equation $\cos(\sin x)=\sin(\cos x)$ has no real solutions.
60559
How prove this $x^3<\sin^2{x}\tan{x},x\in\left(0,\dfrac{\pi}{2}\right)$
120148
prove this properties of triangles trigonometric question
123920
How prove this inequality $\tan{(\sin{x})}>\sin{(\tan{x})}$
22767
How to prove $3^\pi>\pi^3$ using algebra or geometry?
60761
Proof: $\cos^p (\theta) \le \cos(p\theta)$
70715
How do I prove $\int_0^\pi\frac{(\sin nx)^2}{(\sin x)^2}dx = n\pi$?
10289
Need help in proving that $\frac{\sin\theta - \cos\theta + 1}{\sin\theta + \cos\theta - 1} = \frac 1{\sec\theta - \tan\theta}$
156881
How prove this inequality $I=\int_{0}^{\sqrt{2\pi}}\sin{x^2}dx>0$
68774
Proving that $f(x)$ is less than or equal to $1+\pi/4$
106355
How to prove Lagrange trigonometric identity
27513
Trigonometric bounds
77130
How to prove this inequality $\left|x\sin{\frac{1}{x}}-y\sin{\frac{1}{y}}\right|<2\sqrt{|x-y|}$?
21941
Proving: $x = a_0 + \sum_{n=1}^{\infty}(a_n \cos nx + b_n \sin nx)$
85944
Prove $ \sin x + \frac{ \sin3x }{3} + ... + \frac{ \sin((2n-1)x) }{2n-1} >0 $
30429
How to prove $\cos \frac{2\pi }{5}=\frac{-1+\sqrt{5}}{4}$?
28125
Showing that $1 - \frac{x^2}2\leq\cos x$, $\forall x \in \mathbb{R}$