Write the expression in terms of a single sin $-\sqrt{3} \sin x + \cos x$
31575
Solving trigonometric equations of the form $a\sin x + b\cos x = c$
49999
Express $y$ from $\ln(x)+3\ln(y) = y$
45343
Solve $\cos^{n}x-\sin^{n}x=1$ with $n\in \mathbb{N}$.
5747
$\cos(\arcsin(x)) = \sqrt{1 - x^2}$. How?
27628
Solving $a \sin\theta + b \cos\theta = c$
147684
Prove that $\sin \theta=\frac{3 \sin \alpha+\sin^3 \alpha}{1+3\sin^2 \alpha}$ using given condition
63155
Express $1+2\cos a$ as a product
142610
Solving $\sin x\cos3x+\cos x\sin3x=\sqrt{3}/2$ in the interval $[0,2\pi]$
82113
Solve $\int cos{\sqrt x} \ dx$ using a combination of substitution and integration by parts
91212
Evaluate $\int \cos^3 x\;\sin^2 xdx$
83332
Trig sum: $\tan ^21^\circ+\tan ^22^\circ+\cdots+\tan^2 89^\circ = \text{?}$
5947
Limit of a trigonometric rational expression
131688
Solve $\sin 7x+\sin 3x=0$
37108
Solve $\cos(z)=\frac 34+\frac i4$
31852
An elegant way to solve $\frac {\sqrt3 - 1}{\sin x} + \frac {\sqrt3 + 1}{\cos x} = 4\sqrt2 $
482
Express $1 + \frac {1}{2} \binom{n}{1} + \frac {1}{3} \binom{n}{2} + \dotsb + \frac{1}{n + 1}\binom{n}{n}$ in a simplifed form
28374
calculus expressions