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Starting from the left-hand side (LHS) of the identity
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$\frac{\cos\left(a\right)}{\csc\left(a\right)+1}+\frac{\cos\left(a\right)}{\csc\left(a\right)-1}$
Learn how to solve problems step by step online. Prove the trigonometric identity cos(a)/(csc(a)+1)+cos(a)/(csc(a)-1)=2tan(a). Starting from the left-hand side (LHS) of the identity. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Solve the product of difference of squares \left(\csc\left(a\right)+1\right)\left(\csc\left(a\right)-1\right). Factor the polynomial \cos\left(a\right)\left(\csc\left(a\right)-1\right)+\cos\left(a\right)\left(\csc\left(a\right)+1\right) by it's greatest common factor (GCF): \cos\left(a\right).