Trigonometric Ratios
Sketch a triangle that has acute angle $θ$ , and find the other five trigonometric ratios of $θ$
$c o s θ = \frac{12}{13}$

Question

Trigonometric Ratios
Sketch a triangle that has acute angle $θ$ , and find the other five trigonometric ratios of $θ$
$c o s θ = \frac{12}{13}$

Accepted Answer

The required triangle is

The other ratios are-

$\begin{array}{l} s i n θ = \frac{5}{13} \\ t a n θ = \frac{5}{12} \\ c o t θ = \frac{12}{5} \\ c s c θ = \frac{13}{5} \\ s e c θ = \frac{13}{12} \end{array}$

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Precalculus Mathematics for Calculus

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Trigonometric Ratios
Sketch a triangle that has acute angle $θ$ , and find the other five trigonometric ratios of $θ$
$c o s θ = \frac{12}{13}$

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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Trigonometric RatiosSketch a triangle that has acute angle θ, and find the other five trigonometric ratios of θcosθ=1213

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

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Trigonometric Ratios
Sketch a triangle that has acute angle $θ$ , and find the other five trigonometric ratios of $θ$
$c o s θ = \frac{12}{13}$