# Find secant of theta if tangent of theta is the square root of 29 over 4?

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If you use the pythagorean identities, of tangent ^2 +1 = secant ^2, how do you solve?

If you use the pythagorean identities, of tangent ^2 +1 = secant ^2, how do you solve?

##### 1 Answer

#### Explanation:

So, what we want to solve is this:

If

There's a number of ways to solve this problem, but let's solve it using a trigonometric identity:

If we solve this expression for

Now, all we do is plug in the value we were given for

..and that's your answer! However, we can polish this up a little so it looks nicer. For one, we can remove the radical in the denominator, since 16 is a perfect square:

Now, we also know that

And that is pretty much as far as we can simplify. So, this would be your final answer.

Hope that helped :)