Question

write all other trigonometric ratios of angle A in terms of cosec a​

Answer 1

I HOPE IT HELPS U... PLZ MARK MY ANSWER AS BRAINLIEST N FOLLOW ME

Answer 2

Given:

cosec A

To Find:

All  other trigonometric ratios of   angle A in terms of cosec A.

Solution:

• cosec A = 1 / sin A

• cosec A = 1 / $\sqrt{1 - cos^{2}A$

(We get this by replacing the sin A = $\sqrt{1 - {cos^{2} A} }$ from  identity

sin^2A + cos^2A =1)

• cosec A = $\sqrt{1 + cot^{2}A }$

(We get this by using  property cosec^2A = 1 + cot^2A)

• cosec A = $\sqrt{1 + \frac{1}{tan^{2}A } }$

(We get this by replacing the cot^2A as 1/tan^2A in  above formula)

• cosec A = $\sqrt{1+ \frac{1}{sec^{2}A -1 } }$

(We get this by replacing the tan^2A as sec^2A - 1 in  above formula)

#SPJ3