Simplify $2(\sin^6x + \cos^6x) - 3(\sin^4 x + \cos^4 x) + 1$
118992
How to prove the identity $3\sin^4x-2\sin^6x=1-3\cos^4x+2\cos^6x$?
57152
Solve $\sin x = 1 - x$
148207
Express $\cos 6\theta $ in terms of $\cos \theta$
145463
How to factorise $2 \sin^2θ – 3\sinθ +1 = 0$
146753
Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
131310
Evaluating $\dfrac{1}{\sin(2x)} + \dfrac{1}{\sin(4x)} + \dfrac{1}{\sin(8x)} + \dfrac{1}{\sin(16x)}$
74143
Simplifying and evaluating $\cot 70^\circ+4\cos 70^\circ$
37108
Solve $\cos(z)=\frac 34+\frac i4$
10222
Simplify $\sum (x_i- \mu)^2$
48200
Simplify $\sum_{i=0}^n (i+1)\binom ni$
99584
Evaluation of $\int \frac{\sqrt{\sin ^4x+\cos ^4x}}{\sin ^3x \cos x }dx$
87934
Deducing $\sin x + \cos x \ge 1$ from $(\sin x + \cos x)^2 = 1 + 2 \sin x \cos x$
77810
Solving Trigonometric Derivatives
133880
$|\sin^2x-\sin^2y|\le K|x-y|$ find K
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
90226
Proving trigonometric equation $\cos(36^\circ) - \cos(72^\circ) = 1/2$
9986
Prove $ \sin(A+B)\sin(A-B)=\sin^2A-\sin^2B $