Question
$\sin \theta=\frac{7}{25}$ find the values of cosθ and tanθ.
✓
Answer
We know that,
$\sin ^2 \theta+\cos ^2 \theta=1$
$\Rightarrow\left(\frac{7}{25}\right)^2+\cos ^2 \theta=1$
$\Rightarrow \frac{49}{625}+\cos ^2 \theta=1$
$\Rightarrow \cos ^2 \theta=1-\frac{49}{625}$
$\Rightarrow \cos ^2 \theta=\frac{576}{625}$
$\Rightarrow \cos \theta=\frac{24}{25}$
Also,
$\tan \theta=\frac{\sin \theta}{\cos \theta}$
$\Rightarrow \tan \theta=\frac{\left(\frac{7}{25}\right)}{\frac{24}{25}}=\frac{7}{24}$
$\sin ^2 \theta+\cos ^2 \theta=1$
$\Rightarrow\left(\frac{7}{25}\right)^2+\cos ^2 \theta=1$
$\Rightarrow \frac{49}{625}+\cos ^2 \theta=1$
$\Rightarrow \cos ^2 \theta=1-\frac{49}{625}$
$\Rightarrow \cos ^2 \theta=\frac{576}{625}$
$\Rightarrow \cos \theta=\frac{24}{25}$
Also,
$\tan \theta=\frac{\sin \theta}{\cos \theta}$
$\Rightarrow \tan \theta=\frac{\left(\frac{7}{25}\right)}{\frac{24}{25}}=\frac{7}{24}$
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$0-10$
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$10-20$
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$20-30$
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$30-40$
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$40-50$
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$50-60$
|
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Frequency
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