# trig

posted by jacara

FInd the exact value pf the 6 trig function of alpha
Given: point (-2,-6) on the terminal side of the angle in standard position
sin alpha
cos alpha
tan alpha
sec alpha
csc alpha
cot alpha

1. Henry

(0,0), (-2,-6).

X = -2-0 = -2.

Y = -6-0 = -6.

r = sqrt((-2)^2+(-6)^2) = sqrt40 =
sqrt(4*10) = 2sqrt10.

sinA = Y/r = -6/2sqrt10 = -3/sqrt10 =
-3sqrt10/10.

cosA = X/r = -2 / 2sqrt10 =
-1 / sqrt10 = -sqrt10 / 10.

tanA = Y/X = -6/-2 = 3.

cscA = 1/sinA = 10 / -3sqrt10 =
10sqrt10 / -3*10 = 10sqrt10 / -30 =
sqrt10 / -3.

secA = 1/cosA = -3 / sqrt10 =
-3sqrt10 / 10.

cotA = 1/tanA = 1/3.

## Similar Questions

1. ### trig

express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + alpha) = R cos(alpha)sin(theta) + R sin(alpha)cos(theta) ----> Rcos(alpha) = 20 Rsin(alpha) = 4 The x-y coordinates of a point on a circle of radius R that …
2. ### trig

Find sin (alpha/2) and cos (alpha/2) sin alpha = 3, -pi/2 < alpha <less then or equal to 0 How to get the answer of sin (alpha/2) = -1/square root 3, cos(alpha/2) = square root 6/3?
3. ### trig

Please find sin (alpha/2) and cos (alpha/2) sec alpha = 3, -pi/2 < alpha < 0
4. ### MATH

knowledge : point (-3,-4)is on the terminal arm of an angel (alpha) in stander position.verify that (sin alpha)2 + (cos alpha )2 =1
5. ### trigonometry

given that sin alpha/2 = 2/3, and that alpha/2 is in quadrant II, determine the exact values of all trig functions for alpha.
6. ### Trigonometry

Find the counterexample to shows that the equation sec (alpha) - cos (alpha) = sin (alpha) sec (alpha) is not an identity. Please explain.
7. ### Trigonometry

Write cos(-83degrees) as a function of a positive angle Prove that tan^2(alpha)-1+cos^2(alpha)=tan^2(alpha)sin^2(alpha)
8. ### precal

when solving for all solutions how do I work out this problem: cos4(alpha)=cos2(alpha) and when verifying each identity how do I complete this problem: sin (alpha/2)=sec alpha -1/2sin (alpha/2)sec alpha
9. ### trig

evaluate the following in exact form, where the angeles alpha and beta satisfy the conditions: sin alpha=4/5 for pi/2 < alpha < pi tan beta=7/24 for pie < beta < 3pi/2 answer choices A. sin(beta+alpha) B. tan(beta-alpha) …
10. ### algebra

if sin alpha is 0.28° where 0° is less than or equal to alpha less than or equal to 90°, evaluate cos alpha, tan alpha, sec alpha, cosec alpha and cot alpha. please help, it's urgent.

More Similar Questions