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Simplify the trigonometric expression $\frac{1+\tan\left(a\right)^2}{\csc\left(a\right)^2}+\sin\left(a\right)^2+\frac{1}{\sec\left(a\right)^2}$

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Solution

Formulas

Videos

Why sin(x)^2 + cos(x)^2= 1 ?

https://www.youtube.com/watch?v=bk5HQktvUjs

Proof the identity tan(x)^2+1 = sec(x)^2

https://www.youtube.com/watch?v=JgQmPr5J4j0

Pre-Calculus - How to simplify a trigonometric expression by squaring a binomial (sin(x)+cos(x))^2

https://www.youtube.com/watch?v=e5IczuZxvVI

Tutorial - Simplify a trigonometric expression by factoring ex 26, 2(cosx)^2 + cosx - 3

https://www.youtube.com/watch?v=X35--yiv4Ms

Simplifying basic trig identities - Math homework answers sec(x) (sin(x)/tan(x))

https://www.youtube.com/watch?v=JEv8uSt26bI

Tutorial - Simplify a trigonometric expression and then find the sum ex 31, (sinx/cscx) + (cosx)^2

https://www.youtube.com/watch?v=gim3YN7vOw8

Function Plot

Plotting: $\sec\left(a\right)^2$

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0
a
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c
d
f
g
m
n
u
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Similar Problems Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

$1+cot^2x$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

$\frac{2+tan^2x}{sec^2x}-1$

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

Used Formulas

See formulas (2)

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