Question

Find cos²A/ cos⁴A


If sin A / Sin² A = 1​

Answer 1

Hope it's helpful question thank you for your questions

Answer 2

Answer:

(1 - sin A)/(1 + sin A - 2 sin A cos A).

Step-by-step explanation:

sin A / Sin² A = 1

so, Sin² A = sin A / 1 = Sin A ______(1)

we know that, sin^(2) A + cos^(2) A = 1

cos^(2) A = 1 - sin^(2) A

from (1) cos^(2) A = 1 - sin A ______(2)

then, from (2) cos^(4) A = (cos^(2) A)^(2) = (1 - sin A)^(2)

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

from (1) = 1 + sin A - 2 sin A cos A

then,

cos²A/ cos⁴A = (1 - sin A)/(1 + sin A - 2 sin A cos A)