SOLUTION: Find all five other trigonometric ratios if sinx=-3/7 and tanx>0

Question 806712: Find all five other trigonometric ratios if sinx=-3/7 and tanx>0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all five other trigonometric ratios if sinx=-3/7 and tanx>0
***
Reference angle x is in quadrant II where sin<0, cos<0, tan>0
cosx=-√(1-sin^2x)=-√(1-9/49)=-√(40/49)=-√40/7
sinx=-3/7
cosx=-√40/7
tanx=sinx/cosx=3/√40=(3√40)/40
cscx=-7/3
secx=-7/√40=-(7√40)/40
cotx=√40/3
RELATED QUESTIONS
find the values of the other five trigonometric ratios if... (answered by lwsshak3)

find all the remaining trigonometric functions x if: cosx = 3/5 and tanx = -4/3... (answered by stanbon)

could you guide me about this? I dont have any idea to solve this kind of exercises and I (answered by Alan3354,Edwin McCravy)

Sketch a triangle that has acute angle θ, and find the other five trigonometric... (answered by stanbon)

Find all the other trigonometric ratios for the angel A if sin(A) =... (answered by Alan3354)

tan thetha= 3/7 and 0 (answered by Alan3354)
If sinθ= 3/11 , state the ratios of the other two primary trigonometric ratios. (answered by ikleyn,josgarithmetic)
given that cot(theta)=√3 and cos( theta) < 0 . without finding the angle (theta ).... (answered by lwsshak3)
Find cos if sinx=-12/13 & tanx>0 Find tanx if cosx = the square root of 5/2 and... (answered by Fombitz)