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Questions and Answers
If $\tan\theta$ is equal to $\frac{13}{5}$, what is $\cos\theta$?
If $\tan\theta$ is equal to $\frac{13}{5}$, what is $\cos\theta$?
- $\frac{13}{5}$
- $-\frac{13}{5}$
- $-\frac{5}{13}$ (correct)
- $\frac{5}{13}$
If $\tan\alpha$ is equal to $\frac{7}{24}$, what is $\cos\alpha$?
If $\tan\alpha$ is equal to $\frac{7}{24}$, what is $\cos\alpha$?
- $-\frac{7}{24}$
- $-\frac{24}{7}$ (correct)
- $\frac{7}{24}$
- $\frac{24}{7}$
If $\tan\beta$ is equal to $\frac{3}{4}$, what is $\cos\beta$?
If $\tan\beta$ is equal to $\frac{3}{4}$, what is $\cos\beta$?
- $-\frac{4}{3}$
- $\frac{4}{3}$ (correct)
- $\frac{3}{4}$
- $-\frac{3}{4}$
Study Notes
Trigonometric Identities
- If tan(θ) = 13/5, then we can find cos(θ) using the trigonometric identity: cos(θ) = 1 / √(1 + tan²(θ))
- Given tan(α) = 7/24, we can use the same identity to find cos(α)
- Similarly, if tan(β) = 3/4, we can find cos(β) using the same trigonometric identity
Key Formulas
- cos(θ) = 1 / √(1 + tan²(θ))
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Description
Test your trigonometry skills with these questions about finding the cosine of angles when the tangent is given. Practice solving for the cosine of angles represented by different fractions and improve your understanding of trigonometric functions.
