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Simplify the trigonometric expression $\frac{\sec\left(x\right)-\cos\left(x\right)}{\sec\left(x\right)}$

Step-by-step Solution

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Final Answer

$\sin\left(x\right)^2$
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Step-by-step Solution

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Expand the fraction $\frac{\sec\left(x\right)-\cos\left(x\right)}{\sec\left(x\right)}$ into $2$ simpler fractions with common denominator $\sec\left(x\right)$

$\frac{\sec\left(x\right)}{\sec\left(x\right)}+\frac{-\cos\left(x\right)}{\sec\left(x\right)}$

Learn how to solve simplify trigonometric expressions problems step by step online.

$\frac{\sec\left(x\right)}{\sec\left(x\right)}+\frac{-\cos\left(x\right)}{\sec\left(x\right)}$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sec(x)-cos(x))/sec(x). Expand the fraction \frac{\sec\left(x\right)-\cos\left(x\right)}{\sec\left(x\right)} into 2 simpler fractions with common denominator \sec\left(x\right). Simplify the resulting fractions. Applying the trigonometric identity: \displaystyle\frac{1}{\sec(\theta)}=\cos(\theta). When multiplying two powers that have the same base (\cos\left(x\right)), you can add the exponents.

Final Answer

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

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Function Plot

Plotting: $\sin\left(x\right)^2$

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5
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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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:

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

1. See formulas

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