Question

Cosec theta-cot theta is 1/3.. find the value of sin theta and tan theta

Answer 1

Step-by-step explanation:

hope this helps......

Answer 2

$\sin\theta=3-3\cos\theta$

$\tan\theta=\frac{3\sin\theta}{3-\sin\theta}$

Step-by-step explanation:

$cosec\ \theta-cot\ \theta=\frac{1}{3}$

$\Rightarrow \frac{1}{sin \ \theta} -\frac{\cos\theta}{\sin\theta} =\frac{1}{3}$

$\frac{1-\cos\theta}{\sin\theta} =\frac{1}{3}$

$\sin\theta=3-3\cos\theta$

and

$cosec\ \theta-cot\ \theta=\frac{1}{3}$

$\Rightarrow \frac{1}{sin \ \theta} -\frac{\cos\theta}{\sin\theta} =\frac{1}{3}$

$\frac{\cos\theta}{\sin\theta} =\frac{1}{\sin\theta} -\frac{1}{3}$

$\frac{\cos\theta}{\sin\theta} =\frac{3-\sin\theta}{3\sin\theta}$

$\frac{\sin\theta}{\cos\theta} =\frac{3\sin\theta}{3-\sin\theta}$

$\tan\theta=\frac{3\sin\theta}{3-\sin\theta}$

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TOPIC: trigonometric identities

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