Find the value of $\left(\cos 52^{\circ}+\cos 68^{\circ}+\cos 172^{\circ}\right)$
110261
Value of $ \cos 52^{\circ} + \cos 68^{\circ} + \cos 172^{\circ} $?
17102
If $\left(1+\sin \phi\right)\cdot \left(1+\cos \phi\right) = \frac{5}{4}\;,$ Then $\left(1-\sin \phi\right)\cdot \left(1-\cos \phi\right)$
143368
Find the ratio of $\frac{\int_{0}^{1} \left(1-x^{50}\right)^{100} dx}{\int_{0}^{1} \left(1-x^{50}\right)^{101} dx}$
28661
What will be the one's digit of the remainder in: $\left|5555^{2222} + 2222^{5555}\right|\div 7=?$
34017
Show that $n^{\pi\left(2n\right)-\pi\left(n\right)}2$
86454
How to prove $\cos\left(\pi\over7\right)-\cos\left({2\pi}\over7\right)+\cos\left({3\pi}\over7\right)=\cos\left({\pi}\over3 \right)$
9105
Finding the last two digits $123^{562}$
17082
Number of real roots of $2 \cos\left(\frac{x^2+x}{6}\right)=2^x+2^{-x}$
140983
$ \tan 1^\circ \cdot \tan 2^\circ \cdot \tan 3^\circ \cdots \tan 89^\circ$
76941
How do you find the value of $\sum_{r=0}^{44} \tan^2(2r+1)$?
8358
Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $
140001
Minimum value of $2^{\sin^2x}+2^{\cos^2x}$
59003
Product of cosines: $ \prod_{r=1}^{7} \cos \left(\frac{r\pi}{15}\right) $
98367
Limit of $\left(\frac{n^2+2}{2n^2+1}\right)^{n^2}$
31448
Calculate $\int\left( \sqrt{\tan x}+\sqrt{\cot x}\right)dx$
60385
How to solve this sequence $165,195,255,285,345,x$
87907
How to find the maximum and minimum value of $\left|(z_1-z_2)^2 + (z_2-z_3)^2 + (z_3-z_1)^2\right|$ (where $|z_1|=|z_2|=|z_3|=1$)?