Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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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Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{\frac{1}{\sin\left(t\right)}-\sin\left(t\right)}{\cos\left(t\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (csc(t)-sin(t))/cos(t). 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. Simplify \sin\left(t\right)\cos\left(t\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Divide fractions \frac{1-\sin\left(t\right)^2}{\frac{\sin\left(2t\right)}{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.
