Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Solve the inequality (sin(x))/(cos(2x+pi/2))%(-1sec(x))/2

\frac{\sin\left(x\right)}{\cos\left(2x+\frac{\pi}{2}\right)}\geq \frac{-\sec\left(x\right)}{2}

Step by step solution

Problem

$\frac{\sin\left(x\right)}{\cos\left(2x+\frac{\pi}{2}\right)}\geq \frac{-\sec\left(x\right)}{2}$

Show full step-by-step solution

Answer

$\frac{\frac{1}{2}\cos\left(\sqrt{2}+2x\right)}{\cos\left(x\right)}+\frac{1}{\csc\left(x\right)}\geq 0$
$\frac{\sin\left(x\right)}{\cos\left(2x+\frac{\pi}{2}\right)}\geq \frac{-\sec\left(x\right)}{2}$

Main topic:

Inequalities

Used formulas:

0

Time to solve it:

0.27 seconds