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Find the exact value.

tan(-60degrees)=
cot(-60degrees)=

2006-10-17 12:21:26 · 7 answers · asked by pnoiz1 2 in Science & Mathematics Mathematics

7 answers

ok first off: 60degrees = pi/3 (in radians)

tan (-60degrees) = sin (-60degrees)/ cos (-60 degrees)
= root(-3)/2 / (-1/2)
= root(3) aka sqaure root of 3

cot (-60degrees) = cos (-60degrees)/ sin (-60 degrees)
= (-1/2) / root(-3)/2
= root(3)/3 aka square root of 3 over 3

yea, i know fo sho that dis is rite....and your welcome, i got the PSAT's 2morrow to study for....

2006-10-17 12:29:00 · answer #1 · answered by d29061 2 · 0 0

the first step you must do is figure out what the reference angle is. Since you have an angle in the 4th quadrant, your reference angle is -theta. So in your case your reference angle is -(-60) = 60 degrees. The tangent of 60 degrees is the same thing as the sin(60 degrees) / cos(60 degrees). The sin(60) and the cos(60) come from a 30 - 60 - 90 triangle and the unit circle. The sin(60) = sqrt(3)/2 and cos(60) = 1/2....so tan(60) = sqrt(3)/2 / 1/2 = sqrt(3).

So tan(60) = sqrt(3).

But tangent is negative in the 4th quadrant where your original angle is located, so tan(-60) = -sqrt(3).


The cotangent function is the reciprocal function of tangent, so to get cot(-60) all you do is take 1/tan(-60) = -1/sqrt(3).

2006-10-17 12:36:09 · answer #2 · answered by pecosbill2000 3 · 0 0

Tan(-60) = -√3
Ctn(-60) = (-√3)/3

2006-10-17 12:26:20 · answer #3 · answered by Helmut 7 · 0 0

just type into your calculator:
-60 and then the tangent button which is TAN.
same for the second one.
do you expect me to give you the actual answer?

2006-10-17 12:24:03 · answer #4 · answered by CuteMonkey 2 · 0 0

refer tp your geometry twxt book

2006-10-17 12:26:23 · answer #5 · answered by Anonymous · 0 0

tan(-(60 degrees)) = -1.73205081

2006-10-17 12:25:57 · answer #6 · answered by DanE 7 · 0 0

-1.732050808
.5

2006-10-17 12:24:21 · answer #7 · answered by      7 · 0 0

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