Question

If cosec X- cot x =8 then find the value of sin x​

Answer 1

Answer:

$sin x = \frac{1-cos x}{8}$

Step-by-step explanation:

cosec x - cot x = 8

cosec x = $\frac{1}{sin x}$

cot x = $\frac{cos x}{sinx}$

Substitute,

$\frac{1}{sin x} - \frac{cos x}{sinx} = 8$

$8sinx = 1 - cos x$

$sin x = \frac{1-cos x}{8}$

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Answer 2

Cot A =8 /15

Answer:

1+ cot ²A = cosec²A

1+ ( 8/15 ) ²= cosec²A