Posted by Josh on Monday, December 6, 2010 at 10:19am.
Evaluate all six trigonometric functions at t, where the given point lies on the terminal side of an angle of t radians in standard position. (40/41, 9/41)

Precalculus Someone please help  bobpursley, Monday, December 6, 2010 at 10:37am
draw the triangle, but first, scale it (that wont change the angle). (40,9) works. That makes the hypotenuse sqrt(40^2+9^2)=41
so you have a triangle, in the fourth quadrant sides 40, 9, with a hypotenuse of 41
sin= 9/41
cos= 40/41
You take it from here.

Precalculus Someone please help  Reiny, Monday, December 6, 2010 at 10:39am
You know you are in quadrant IV
by CAST, the cosine, (and the secant), are positive in that quadrant. All other trig ratios are negative.
You also know you are dealing with a 94041 rightangled triangle, since 9^2 + 40^2 = 41^2.
so x=40, y = 9 , and r = 41
Now you can state the other 5 trig ratios.
e.g. tan t = 9/41 (because tanĂ˜ = y/x, etc)

oops typo  Precalculus Someone please help  Reiny, Monday, December 6, 2010 at 10:41am
e.g. tan t = 9/40
Answer This Question
Related Questions
 Precalculus  Evaluate all six trigonometric functions at t, where the given ...
 Math Trig  Find the values of the six trigonometric functions of an angle in ...
 Math Trig  Find the values of the six trigonometric functions of an angle in ...
 trig  the terminal side of an angle theta in standard position coincides with ...
 Math Trigonometry  The point, in on the terminal side of an angle in standard ...
 trig  Find the values of the six trigonometric functions of the angle in ...
 trig  Find the values of the six trigonometric functions of an angle 0 in ...
 trig  (a) sketch an angle A in standard position whose terminal ray passses ...
 Algebra II  The terminal side of θ in standard position contains each ...
 precalc  Find the exact values of the six trigonometric functions of theta if ...
More Related Questions