Short Answer

Simplifying Trigonometric Expressions-
Write the trigonometric expression $t a n θ c s c θ$ in terms of sine and cosine, and then simplify.

On simplifying expression we get $\frac{1}{\cos θ}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

A trigonometric expression as $\tan θ \csc θ$

Step 2. Concept used

Write the expression in sine and cosine terms first. Then, to reduce it further, apply trigonometric identities.

Step 3. Calculation

Now, write $\tan θ \sec θ$ in form of $s i n e a n d \cos i n e$ :

$\begin{array}{l} \tan θ = \frac{\sin θ}{\cos θ} \\ \csc θ = \frac{1}{\sin θ} \\ ∴ \tan θ \csc θ = \frac{\sin θ}{\cos θ} \times \frac{1}{\sin θ} \\ = \frac{1}{\cos θ} \end{array}$

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Precalculus Mathematics for Calculus

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Short Answer

Simplifying Trigonometric Expressions-
Write the trigonometric expression $t a n θ c s c θ$ in terms of sine and cosine, and then simplify.

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

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Precalculus Mathematics for Calculus

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Short Answer

Simplifying Trigonometric Expressions-Write the trigonometric expression tanθcscθ in terms of sine and cosine, and then simplify.

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

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Simplifying Trigonometric Expressions-
Write the trigonometric expression $t a n θ c s c θ$ in terms of sine and cosine, and then simplify.