TRIGONOMETRY:

Start with sin2(θ) + cos2(θ) = 1. What would you multiply through by to get sec2(θ) = tan2(θ) + 1?

Question

TRIGONOMETRY:

Start with sin2(θ) + cos2(θ) = 1. What would you multiply through by to get sec2(θ) = tan2(θ) + 1?

dumbsearch2 · Answer

attachment

nnesha · Answer

what is reciprocal of tan ?

danjs · Answer

sorry, i was still on the closed first question of this

dumbsearch2 · Answer

cotangent @nnesha

dumbsearch2 · Answer

So is the answer D?

danjs · Answer

try each answer out to see if it will work...

nnesha · Answer

not just cot 
it should be 1/cot 
but how would you write tan in terms of sin  cos  ?

danjs · Answer

you just need to know the basic definitions of the trig functions, and multiply through each anser to test if it works

danjs · Answer

For example in using A)   1/cos^2(x) 

multiplying the given equation by that results in 

$$\frac{ \sin^2(x) }{ \cos^2(x) }+\frac{ \cos^2(x) }{ \cos^2(x) } = \frac{ 1 }{ \cos^2(x) }$$

danjs · Answer

see if that is the same as the equation they are looking for

dumbsearch2 · Answer

I get tan^2(x), not sec.

danjs · Answer

right, sin^2 / cos^2 = tan^2 for the first fraction

danjs · Answer

do that for all 3

danjs · Answer

cos^2 / cos^2 = 1

danjs · Answer

and
1 / cos^2(x) = sec(x)^2

right

dumbsearch2 · Answer

So the answer is A?

danjs · Answer

it appears so, because you get

tan^2(x) + 1 = sec^2(x)

danjs · Answer

memorize the 6 trig vunctions and how they relate... tha tis all this is