Question

Verify the trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.

1. cot x sec^4 x = cot x + 2 tan x + tan^3 x

Answer 1

just replace everything by sines and cosines and eventually you will end up with the pythagorean theorem if it is actually an identity.

Answer 2

i got cot x sec^4 x = cot x sec4x . is that correct?

Answer 3

it just says to match the sides

Answer 4

oops do i have to include the steps also?

Answer 5

i know that but i need to know what the steps are

Answer 6

i would just transfer over to only sin and cos, then simplify it, check

Answer 7

and how do you do that? i have no idea how to transfer over

Answer 8

cot(x) = cos(x) / sin(x)
csc = 1/sin
..


remember those

Answer 9

yes

Answer 10

tan = sin/cos

Answer 11

the left side goes to

\[\large \frac{ 1 }{ \sin(x)*\cos^3(x) }\]

Answer 12

show the right side does the smae thing

Answer 13

sec^2(x) = 1 + tan^2(x)?

Answer 14

yeah you can use that on the left side and try to make it look like the right