Question

WILL FAN AND MEDAL
Two sides of a right triangle ABC​ (C is the right​ angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.
Find secB when a=10 and b=7.

choices:
A. 10sqrt(149)/149
B. sqrt149/10
C. 10sqrt(149)/7
D. 7sqrt(149)/149

Answer 1

You could draw the right triangle and calculate the length of the missing side.

Answer 2

What would the hypotenuse be in the scenario described?

Answer 3

12.2, right? Or do I have to use a square root?

Answer 4

Thats techinically correct but it wants exact answers

Answer 5

The square root is more useful.

Answer 6

So yes keep the square root

Answer 7

Okay so sqrt(149). What's next?

Answer 8

So now secant is the inverse of cosine, so since cosine is adj./opposite what would secant be?

Answer 9

opposite/adj.

Answer 10

So what are the opposite and adjacent sides of angle B?

Answer 11

Omg I apologize I meant opposite and hypotenuse

Answer 12

I MEANT ADJ. and hypotenuse I am so sorry let's start over

Answer 13

So now secant is the inverse of cosine, so since cosine is adj./hypotenuse what would secant be?

Answer 14

It's fine, man. Don't worry about it, at least you fixed it, right? :)

Answer 15

And the secant would be hypotenuse/adj.

Answer 16

K now just plugin the numbers and you've got it

Answer 17

So it'd be sqrt(149)/10, right?

Answer 18

Yes that is right sorry I wasnt here to check it