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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)
- $\frac{3}{4}$
- $-\frac{3}{4}$
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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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