Question

Does anyone know how to verify cos theta (tan squared theta + 1) = sec theta using the fundamental identities?

Answer 1

\[\sin^2(\theta) + \cos^2(\theta) = 1\]divide everything by cosine and you get:
\[ \tan^2(\theta) + 1 = \sec^2(\theta)\]

Answer 2

Do you see how this applies to \[ \cos (\theta) (\tan ^2(\theta) + 1) = \sec (\theta)\]

Answer 3

Yes thank you! :D

Answer 4

\[\huge :D\]

Answer 5

I have so many questions I hope you don't mind?

Answer 6

I dunno if I can help on all of them but I'll try. You can always tag me

Answer 7

Ok well do you know how to verify sin to the third x + sin x cos squared x = sin x using the fundamental identities?

Answer 8

Post another question please

Answer 9

Simplify sin(pi/2-x)

Answer 10

\[\sin(x-y)=\sin(x)\cos(y)-\cos(x)\sin(y)\]

Answer 11

\[\sin(\pi/2-x)=\sin(\pi/2)\cos(x)-\cos(\pi/2)\sin(x)\]

Answer 12

Thank you

Answer 13

\[\sin(\pi/2)=1 , \cos(\pi/2)=0\]
\[\sin(\pi/2-x)=cos(x)\]
Yw