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- Express in terms of sine and cosine
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- Simplify into a single function
- Express in terms of Sine
- Express in terms of Cosine
- Express in terms of Tangent
- Express in terms of Cotangent
- Express in terms of Secant
- Express in terms of Cosecant
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Applying the trigonometric identity: $\tan\left(\theta \right)\cos\left(\theta \right) = \sin\left(\theta \right)$
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$\frac{\sec\left(x\right)^2\left(1+\sin\left(x\right)\right)}{\left(\tan\left(x\right)+\sec\left(x\right)\right)^2}+1=\frac{1}{2}$
Learn how to solve problems step by step online. Solve the trigonometric equation (sec(x)^2(1+cos(x)tan(x)))/((tan(x)+sec(x))^2)+1=1/2. Applying the trigonometric identity: \tan\left(\theta \right)\cos\left(\theta \right) = \sin\left(\theta \right). Move everything to the left hand side of the equation. Simplify the addition \frac{\sec\left(x\right)^2\left(1+\sin\left(x\right)\right)}{\left(\tan\left(x\right)+\sec\left(x\right)\right)^2}+1-\frac{1}{2}. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}.
