I need help asap on a trig question!!

Question

chrisplusian · Answer

?

vocaloid · Answer

post your question please

anonymous · Answer

find the exact values of the trig functions of the angle below. (Use the Pythagorean Theorem to find the third side)

anonymous · Answer

There is a triangle with a hypotenuse of 41 and an adjacent of 9, the opposite is missing.

vocaloid · Answer

|dw:1443394526440:dw|

something like this?

vocaloid · Answer

did I get the drawing right or...?

anonymous · Answer

yes

vocaloid · Answer

ok, do you know how to find the length of the missing side?

anonymous · Answer

yeah it's where you do a^2 + b^2 = c^2 and then you square root it

vocaloid · Answer

ok, so what's the missing side?

anonymous · Answer

I got 42, but my pre calc book got 40, so I really don't know what I did wrong

vocaloid · Answer

9^2 + x^2 = 41^2

vocaloid · Answer

solve for x

anonymous · Answer

ohh, okay. I got 40 as my answer. Thank you so much

vocaloid · Answer

yup, x = 40

so now we have all three sides, now comes the easy part|dw:1443395117726:dw|

vocaloid · Answer

so, our trig functions are:

sin(theta) = opposite/hypotenuse
cos(theta) = adjacent/hypotenuse
tan(theta) = opposite/adjacent

vocaloid · Answer

csc(theta) = hypotenuse/opposite
sec(theta) = hypotenuse/adjacent
cot(theta) = adjacent/opposite

vocaloid · Answer

now all you need to do is look at the triangle and plug in the numbers where they belong