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3 years ago

8

What is the measurement Or side rs

1 answer:

ANEK [815]3 years ago

3 0

Sine 61 = RS / hypotenuse
RS = Sine 61 * hypotenuse
RS = 0.87462 * 8
RS = <span> <span> <span> 6.99696 </span> </span> </span>

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sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).

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Answer:

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Step-by-step explanation:

Given values are

$\sin \alpha=\frac{7}{25}$

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$\sin^2x+\cos^2=1$

$\cos \alpha=\sqrt{1-\sin^2\alpha}$

$\cos \alpha=\sqrt{1-(\frac{7}{25})^2}$

$\cos \alpha=\sqrt{1-\frac{49}{625}}$

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$\sin \beta=\sqrt{1-\cos^2\beta}$

$\sin \beta=\sqrt{1-(\frac{2}{5})^2}$

$\sin \beta=\sqrt{1-\frac{4}{25}}$

$\sin \beta=\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

$\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}$

$\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}$

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Answer:

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Step-by-step explanation:

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