Question

If k + 1 = secA (1 + sin A)(1 - sinA), then find the value of k.​

Answer 1

Answer:

k = cosA - 1

Step-by-step explanation:

k + 1 = secA (1 + sin A)(1 - sinA)

secA (1 + sin A)(1 - sinA)

= secA (1-sin²A)

= secA*cos²A

= (1/cosA)*cos ²A

= cosA

k + 1 = secA (1 + sin A)(1 - sinA)

=> k + 1 = cosA

=> k = cosA - 1

using formula

(x-y)(x+y) = x²-y²

sin²x+cos²x = 1

=> cos²x = 1-sin²x

secA = 1/cosA