Question

the value of sinx + cosx/cos^3x=

Answer 1

Answer:

$tan {}^{3} x + tan {}^{2} x + tan \: x + 1$

Step-by-step explanation:

sin x + cos x)/cos³ x

= (sin x/cos³ x + cos x/cos³ x)

= tan x sec² x + sec² x

= sec² x (tan x + 1)

= (tan² x + 1)(tan x + 1)

= tan³ x + tan² x + tan x + 1

HOPE THIS WILL HELP YOU

Answer 2

Answer:

Q: (sinX + cosX) / cos³X

A: 1 + tanX + tan²X + tan³X

SEE IMAGE FOR SOLUTION.