trig
posted by kelly .
find the 5 other trig functions if cos(theta) = square root of 2/2 and cotangent is less than 0

if the cotØ < 0 then tanØ < 0
then Ø is in either II or IV
and since the cosØ = √2/2 (positive)
Ø is in I or IV
so Ø is in IV
the angle in standard position is 45°
(since cos45° = √2/2)
you should know the trig ratios of the 45° by heart.
so
sinØ = √2/2
cscØ = 2/√2
cosØ = √2/2  the given value
secØ = 2/√2
tanØ = 1
cotØ = 1
Respond to this Question
Similar Questions

Math  Solving Trig Equations
Solve each equation for o is less than and/or equal to theta is less than and/or equal to 360  sin^2x = 1 = cos^2x  Work: cos^2x  cos^2x = 0 0 = 0  Textbook Answers: 90 and 270  Btw, how would you isolate for cos^2x = 0? 
Trigonometry
Use the trig Identities to find the other 5 trig functions. Problem 7.)Tan(90x)=3/8 8.)Csc x=13/5 9.)Cot x=square root of 3 10.)Sin(90x)=.4563 11.)Sec(x)=4 12.)Cos x=.2351 I need HELP! 
trig
find the 5 other thrig functions if cos(theta) = square root of 2/2 and cotangent is less than 0 
trig
Find the exact values of the other trig functions of theta given sec theta=7 and sin theta is less than 0. 
Trig
1. Establish the identity: sin(theta+3pi/2)=cos(theta) 2. Find the exact value of 2(theta) if sin(theta)=5/13 3. Show that: csc2(theta)cot2(theta)=tan(theta) 4. Find the exact value of tan(cos^1(square root of 3/2) 5. Approximate … 
trig
If cosecant of theta equals 3 and cosine of theta is less than zero, find sine of theta, cosine of theta, tangent of theta, cotangent of theta and secant of theta 
trig
when sin theta+cos theta=square root of 2,find the solution of sin^3 theta+cos^3 theta 
trig
given that 0 is less then or equal to theta and theta is less then or equal to pi. ans cos theta = 2/squar root of 7. Find sin theta 
precalc h
sin(theta)/1cos(theta) + 1cos(theta)/sin(theta) = 2csc(theta) That question makes absolutely no sense.. could someone help me? 
Trigonometry
Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0<equal to theta , pi/2 then sin(theta) = tan (theta) = If 3pi/2 less than equal to theta , 2pi then sin(theta) = tan (theta) = I know the trig functions but I feel …