Posted by natash on Sunday, September 14, 2008 at 3:26am.
If tan(x)=8/3 and sin(x)<0, then find cos (x) sec(x) csc(x) i don't understand how u do this problem

trig  David Q, Sunday, September 14, 2008 at 6:09am
Think of the various definitions of these functions in terms of the height, base and hypoteneuse of a rightangled triangle. You're told that tan(x)=8/3, which means that the ratio of the height to the side is 8 to 3. So you can work out the hypoteneuse by Pythagoras. That should enable you to work out the other functions. Don't forget that condition about the sine of x being less than 0 though: there's more than one angle in a 360degree circle with a tangent of 8/3, and you need to make sure you pick the right one.

trig  drwls, Sunday, September 14, 2008 at 10:45am
If tan x is positive and sin x is negative then yx must be in the third quadrant. For tan x = 8/3, the reference angle to the x axis must be arcsin 8/sqrt(8^2 + 3^2) = 69.44 degrees. That means the angle x = 249.44 degrees. The cosine of that angle is 0.3512. The secant is the reciprocal of cosine. csc is the reciprocal of the sin, or (sqrt73)/8
Answer This Question
Related Questions
 more trig.... how fun!!!!  if you can't help me with my first question hopw you...
 Confused! PreCal  Verify that each equation is an identity.. tan A= sec a/csca...
 Alg2/Trig  Find the exact value of the trigonometric function given that sin u...
 trig 26  simplify to a constant or trig func. 1. sec ²utan ²u/cos ²v+sin ²v ...
 trigonometry repost  Reduce (csc^2 x  sec^2 X) to an expression containing ...
 PreCalculus  I don't understand,please be clear! Prove that each equation is ...
 Trig  Find the exact values of the six trigonometric functions 0 if the ...
 Math  Trig  I'm trying to verify these trigonometric identities. 1. 1 / [sec(x...
 MathTrig  Trig Questions 1. Write the algebraic expression which shows Cos((...
 Trig  The question is: Set up a 2 column proof to show that each of the ...
More Related Questions