$\frac{1+\csc\left(x\right)}{\sec\left(x\right)}-\cot\left(x\right)=\cos\left(x\right)$

Step-by-step Solution

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Final answer to the problem

true

Step-by-step Solution

How should I solve this problem?

  • Prouver à partir du LHS (côté gauche)
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Starting from the left-hand side (LHS) of the identity

$\frac{1+\csc\left(x\right)}{\sec\left(x\right)}-\cot\left(x\right)$

Learn how to solve identités trigonométriques problems step by step online.

$\frac{1+\csc\left(x\right)}{\sec\left(x\right)}-\cot\left(x\right)$

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Learn how to solve identités trigonométriques problems step by step online. (1+csc(x))/sec(x)-cot(x)=cos(x). Starting from the left-hand side (LHS) of the identity. Combine all terms into a single fraction with \sec\left(x\right) as common denominator. Apply the trigonometric identity: \cot\left(\theta \right)\sec\left(\theta \right)=\csc\left(\theta \right). Cancel like terms \csc\left(x\right) and -\csc\left(x\right).

Final answer to the problem

true

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