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Simplify the trigonometric expression $\frac{\tan\left(t\right)+\cot\left(t\right)}{\cot\left(t\right)}$

Step-by-step Solution

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Solution

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Final Answer

$\frac{1}{\cot\left(t\right)^2}+1$
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Step-by-step Solution

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Expand the fraction $\frac{\tan\left(t\right)+\cot\left(t\right)}{\cot\left(t\right)}$ into $2$ simpler fractions with common denominator $\cot\left(t\right)$

$\frac{\tan\left(t\right)}{\cot\left(t\right)}+\frac{\cot\left(t\right)}{\cot\left(t\right)}$

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

$\frac{\tan\left(t\right)}{\cot\left(t\right)}+\frac{\cot\left(t\right)}{\cot\left(t\right)}$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (tan(t)+cot(t))/cot(t). Expand the fraction \frac{\tan\left(t\right)+\cot\left(t\right)}{\cot\left(t\right)} into 2 simpler fractions with common denominator \cot\left(t\right). Simplify the resulting fractions. Simplify \frac{\tan(x)}{\cot(x)}. The tangent function is inverse to the cotangent: \tan(x)=\frac{1}{\cot(x)}.

Final Answer

$\frac{1}{\cot\left(t\right)^2}+1$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Express in terms of sine and cosineSimplifySimplify into a single functionExpress in terms of SineExpress in terms of CosineExpress in terms of TangentExpress in terms of SecantExpress in terms of CosecantFactorFind the derivativeSolve (tant+cott)/cott using basic integrals

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Plotting: $\frac{1}{\cot\left(t\right)^2}+1$

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0
a
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n
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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

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$\left(\left(\left(2^2\right)^2\right)^2\right)^0$

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

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