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How do you solve (sec^2)+(tan^2)+6 with trig identities?

0 votes
how do you solve this without using a calculator.**strictly trig identities
asked Feb 22, 2013 in TRIGONOMETRY by payton Apprentice

1 Answer

+2 votes

Let θ is an angle.

sec2θ + tan2θ + 6.

Pythagorean Identities: sec2θ = 1 + tan2θ

1 + tan2θ + tan2θ + 6.

2tan2θ + 7.

 

or

Let θ is an angle.

sec2θ + tan2θ + 6.

Pythagorean Identities: tan2θ = sec2θ - 1

sec2θ + sec2θ - 1 + 6

2sec2θ + 5.

answered Feb 22, 2013 by richardson Scholar

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