Question

TRIGONOMETRY:

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

Answer 1

what is reciprocal of tan ?

Answer 2

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

Answer 3

cotangent @nnesha

Answer 4

So is the answer D?

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

For example in using A) 1/cos^2(x)

multiplying the given equation by that results in

\[\frac{ \sin^2(x) }{ \cos^2(x) }+\frac{ \cos^2(x) }{ \cos^2(x) } = \frac{ 1 }{ \cos^2(x) }\]

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

do that for all 3

Answer 13

cos^2 / cos^2 = 1

Answer 14

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

right

Answer 15

So the answer is A?

Answer 16

it appears so, because you get

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

Answer 17

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