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

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

irishboy123 · Answer

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

anonymous · Answer

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

danjs · Answer

it just says to match the sides

anonymous · Answer

oops do i have to include the steps also?

anonymous · Answer

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

danjs · Answer

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

anonymous · Answer

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

danjs · Answer

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

anonymous · Answer

yes

danjs · Answer

tan = sin/cos

danjs · Answer

the left side goes to

$$\large \frac{ 1 }{ \sin(x)*\cos^3(x) }$$

danjs · Answer

show the right side does the smae thing

anonymous · Answer

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

danjs · Answer

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