Final answer to the problem
$\sec\left(x\right)^2+5-3\tan\left(x\right)^2$
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Step-by-step Solution
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1
Applying the trigonometric identity: $\csc\left(\theta \right)^2 = 1+\cot\left(\theta \right)^2$
$\sec\left(x\right)^2+5\left(1+\cot\left(x\right)^2\right)-3\tan\left(x\right)^2-5\cot\left(x\right)^2$
Why does csc(x)^2 = 1+cot(x)^2 ?
Learn how to solve simplify trigonometric expressions problems step by step online.
$\sec\left(x\right)^2+5\left(1+\cot\left(x\right)^2\right)-3\tan\left(x\right)^2-5\cot\left(x\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression sec(x)^2+5csc(x)^2-3tan(x)^2-5cot(x)^2. Applying the trigonometric identity: \csc\left(\theta \right)^2 = 1+\cot\left(\theta \right)^2. Multiply the single term 5 by each term of the polynomial \left(1+\cot\left(x\right)^2\right). Cancel like terms 5\cot\left(x\right)^2 and -5\cot\left(x\right)^2.
Final answer to the problem
$\sec\left(x\right)^2+5-3\tan\left(x\right)^2$
