Question

If TanA =√3 , then SecA​

Answer 1

Step-by-step explanation:

By definition and trigonometric identities, we have

1 + tan2A = sec2A

sec2A − tan2A = 1

(secA − tanA)(secA + tanA) =1........(1)

By the question,

secA − tanA = 3............(2)

Substitute (2) into........... (1);

3(secA + tanA) = 1

secA + tanA = 13\........(3)

We consider (2) and (3) as a pair of simultaneous equations.

Solving, secA = 53

And hence A = 53.1 or 306.9.

Answer 2

Answer:

Your answer is 4

Step-by-step explanation:

We know that ;TanA=Altitude/Base

Then in question it is Given that TanA=root3

Then altitude =root3,Base=1

Then by pythagoras theoram (Hypotenuse)^2=(Root3+1)^2

=3+1

=4

Hypotenuse=Root4=2

Therefore we know that secA=Hypotenuse/Base

=4/1

=4

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