Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Prove the trigonometric identity $1+\tan\left(x\right)^2=\sec\left(x\right)^2$

Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2

e
π
ln
log
log
lim
d/dx
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

Answer

true

Step-by-step explanation

Problem to solve:

$1+\tan^2\left(x\right)=\sec^2\left(x\right)$
1

Applying the trigonometric identity: $\tan(x)^2+1=\sec(x)^2$

$\sec\left(x\right)^2=\sec\left(x\right)^2$
2

Both expressions are equal

true

Unlock this step-by-step solution!

Answer

true
$1+\tan^2\left(x\right)=\sec^2\left(x\right)$

Main topic:

Trigonometric identities

Used formulas:

1. See formulas

Time to solve it:

~ 0.42 seconds