Final answer to the problem
$\csc\left(t\right)$
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Step-by-step Solution
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- Find the derivative
- Integrate using basic integrals
- Verify if true (using algebra)
- Verify if true (using arithmetic)
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Rewrite $1+\csc\left(t\right)$ in terms of sine and cosine functions
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$1+\csc\left(t\right)$
Learn how to solve problems step by step online. Simplify the trigonometric expression (1+csc(t))/(1+sin(t)). Rewrite 1+\csc\left(t\right) in terms of sine and cosine functions. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Combine all terms into a single fraction with \sin\left(t\right) as common denominator. In the original expression, replace the 1+\csc\left(t\right) with \frac{\sin\left(t\right)+1}{\sin\left(t\right)}.
Final answer to the problem
$\csc\left(t\right)$
