find the trig value below without a calculator.

sec theta=7/4, find cos theta+cos theta tan^2 theta

Question

find the trig value below without a calculator.

sec theta=7/4, find cos theta+cos theta tan^2 theta

anonymous · Answer

$$\sec \theta=\frac{ 7 }{ 4 }, \cos \theta +\cos \theta \tan ^{2} \theta$$

anonymous · Answer

okay I know that sec theta=sec(- theta)

anonymous · Answer

I also know that sec= 1/cos

anonymous · Answer

but i cant put it together.

anonymous · Answer

any luck @NoelGreco ?

noelgreco · Answer

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directrix · Answer

@natnatwebb

cos theta+cos theta tan^2 theta

Factor out cos(theta) to get

cos(theta)[ 1 + tan^2 (theta)]=

directrix · Answer

[1 + tan^2 (theta)]= is a trig identity. Look it up if you don't remember it at the moment.

directrix · Answer

You'll also need the identity cos(theta) = 1/sec(theta) and this answer will fall right out.

anonymous · Answer

okay, every single question i did by myself this afternoon i got wrong.

anonymous · Answer

okay...lemme think.

directrix · Answer

Just take one question at the time.

anonymous · Answer

okay, how did you factor out the cos?

anonymous · Answer

and and...the 1, where did that sucker come from

anonymous · Answer

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