Question

Given the triangle and equation below, what is the value of x? sec∠C - cot∠A = 3x

Answer 1

sec∠C - cot∠A = 3x

cotA = tanC

secC - tanC = 3x

1 - sinC = 3x cosC

1 - sinC = 3x (6/7)

seems like either way you go youll need to determine ab

Answer 2

\(c = \sqrt{7^2+6^2}\)

Answer 3

wait, that.... didn't go well :/

Answer 4

1. Use the Pythagorean theorem to find AB
2. secC = 1/cosC
3. cotA = 1/tanA
4. Use SOH CAH TOA and the identities above to find secC and cotA.
5. Set up the equation and solve for x.

Answer 5

lol, confusing names with convention are ya

Answer 6

we need the opposite, thus \(b = \sqrt{7^2-6^2}\)

Answer 7

hehe

Answer 8

ok thanks guys but can u choose the multiple choice

Answer 9

idk how to use the SOH CAH TOA to find secC and tanA

Answer 10

SOH: sin = opp/hyp
CAH: cos = adj/hyp
TOA: tan = opp/adj
There is no cot or sec listed, but cot = 1/tan, and sec = 1/cos,
so cot = adj/opp and sec = hyp/adj.

Answer 11

ok i understand now thanks so i narrowed it down to either being A or C im just gonna take it from here thanks alot

Answer 12

wlcm