Question

If a cosecΦ=b and a cotΦ=c,prove that a²+c²=b²​

Answer 1

Step-by-step explanation:

a cosecΦ= b, a cosecΦ=b/a

a cotΦ= c, cotΦ= c/a

Using,

cosec²Φ - cot²Φ= 1

=>b²/a² - c²/a² = 1

=> (b²-c²)/a² = 1

=> b² - c² = a²

=> b² = a² + c² (Hence proved)

Answer 2

The answer is attached.

It has used the identity cosec theta = cot theta + 1