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Multiply and divide the fraction $\frac{1-\sin\left(x\right)}{1+\sin\left(x\right)}$ by the conjugate of it's denominator $1+\sin\left(x\right)$
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$\frac{1-\sin\left(x\right)}{1+\sin\left(x\right)}\frac{1-\sin\left(x\right)}{1-\sin\left(x\right)}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1-sin(x))/(1+sin(x)). Multiply and divide the fraction \frac{1-\sin\left(x\right)}{1+\sin\left(x\right)} by the conjugate of it's denominator 1+\sin\left(x\right). Multiplying fractions \frac{1-\sin\left(x\right)}{1+\sin\left(x\right)} \times \frac{1-\sin\left(x\right)}{1-\sin\left(x\right)}. When multiplying two powers that have the same base (1-\sin\left(x\right)), you can add the exponents. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2..