SOLUTION: Given that sinø=4/7 and &#960;/2<ø<&#960;, find the values of the other 5 trigonometric functions of ø

Algebra.Com
Question 873513: Given that sinø=4/7 and π/2<ø<π, find the values of the other 5 trigonometric functions of ø
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given that sinø=4/7 and π/2<ø<π, find the values of the other 5 trigonometric functions of ø
------
Note: t is in QII where x is negative and y is positive
-----------------------------
Since sin = y/r and sin = 4/7, y = 4 and r = 7
-----
Then x = sqrt[7^2-4^2] = -sqrt(33)
------------------------------------------
sin = y/r = 4/7
cos = x/r = -sqrt(33)/7
tan = y/x = -4/sqrt(33)
----
csc, sec, and cot are inverse of sin, cos, and tan
=====================
Cheers,
Stan H.
------------------------

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Given that sinø=4/7 and π/2<ø<π find the values of the other 5 trigonometric functions of ø






RELATED QUESTIONS

Given that tan(θ)=3/4 and θE(π,3π/2); find the values of the... (answered by stanbon)
Find the values of all the trigonometric functions from the given information. cos t =... (answered by lwsshak3)
Find the values of the five other trig functions Sinø=-5/13 and... (answered by Alan3354)
Find the values of all the trigonometric functions from the given information. cos t = (answered by stanbon)
Please review my work for trigonometry THANKS? Find the exact values of each of the five (answered by MathLover1)
Determine the value of θ that satisfies cos cos 7 π 4 +θ2 +... (answered by ikleyn)
Find the values of all the trigonometric functions from the given information. cos t =... (answered by ewatrrr)
Use the given information to find the values of the remaining five trigonometric... (answered by Alan3354)
Find the values of the trigonometric functions of θ from the information given. cot (answered by ewatrrr)