SOLUTION: Find sinx and cosx if tanx=3/4 and sin is greater than 0. Use the Pythagorean identities rather than reference triangles.

Question 903351: Find sinx and cosx if tanx=3/4 and sin is greater than 0. Use the Pythagorean identities rather than reference triangles.
Found 2 solutions by mananth, lwsshak3:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
tan x = 3/4
tanx = rise/run = 3/4
rise=3k
run=4k

hypotenuse r = sqrt(3k)^2+(4k)^2)
r= sqrt((3k)^2+(4k)^2)
r=sqrt(9k^2+16k^2)
=sqrt(25k^2)
=5k
sin x = 3k/5k = 3/5
cos x = 4k/5k = 4/5
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find sinx and cosx if tanx=3/4 and sin is greater than 0. Use the Pythagorean identities rather than reference triangles.
***
sec^2x=tan^2x+1=(3/4)^2+1=(9/16)+1=25/16
secx=5/4
cosx=4/5
sinx=3/5
RELATED QUESTIONS
Given {{{ sinx=3/4 }}} and secx is less than 0, find cosx and... (answered by solver91311,Ryan O)
cosx=3/5 o (answered by Alan3354)
use the fundamental identities to find secant theta if tan theta equals 3 and cos theta... (answered by stanbon)
please help me solve this problem using exact values {{{sinx=2/5}}} and {{{cosx<0}}} I... (answered by stanbon)
Multiply, then use fundamental identities to simplify the expression and determine which... (answered by Fombitz)
1)Find the value of t and determine the quadrant cos t= -4/5 2)If the terminal point... (answered by solver91311)
Add or subtract the fractions then simplify using the Pythagorean identities and... (answered by solver91311)
find all the remaining trigonometric functions x if: cosx = 3/5 and tanx = -4/3... (answered by stanbon)
tanx=2/3 and sinx<0 what is the exact value of... (answered by lwsshak3)