SOLUTION: If tan θ = {{{ 3/2 }}} & cos θ < 0, use the fundamental identities to evaluate the remaining five trigonometric functions of theta.

Question 1067569: If tan θ = & cos θ < 0, use the fundamental identities to evaluate the remaining five trigonometric functions of theta.
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.
If tan θ = & cos θ < 0, use the fundamental identities to evaluate the remaining five trigonometric functions of theta.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If  =  and  < 0,  then the angle  is in QIII.


Next,  =  is the fundamental identity (which means "Everybody must know it").


Therefore,  =  =  =  =  = .

            Hence,   =  = .    The sign is "-" ("minus") since  is in QIII.



Further,    =  =  =  = .    The sign is "-" ("minus") since  is in QIII.



Now you know enough to complete the assignment on your own.


The rest is simply Arithmetic plus knowledge of basic definitions of Trigonometry.

RELATED QUESTIONS
Suppose tanθ=-3/4 and π/2<θ<π. Evaluate the five remaining... (answered by stanbon)

Suppose cosθ= 2/5 and θ is in quadrant IV. Use the Fundamental Trigonometric (answered by stanbon)

#1) If tan of theta = (6/5) and cos of theta < 0, use the fundamental identities to... (answered by stanbon)

Find the remaining trigonometric functions of θ if csc(θ) = 17/8 and... (answered by stanbon)

Find the exact value of each of the remaining trigonometric functions of θ. cos... (answered by lwsshak3)

find the exact value of the remaining trigonometric functions: 1. cotθ = 12/5,... (answered by lwsshak3)

Find the exact value of each of the remaining trigonometric functions of θ.... (answered by lwsshak3)

Given that tan(θ)=3/4 and θE(π,3π/2); find the values of the... (answered by stanbon)

Find the values of the trigonometric functions of θ from the information given. (answered by greenestamps)

SOLUTION: If tan &#952; = {{{ 3/2 }}} & cos &#952; < 0, use the fundamental identities to evaluate the remaining five trigonometric functions of theta.

SOLUTION: If tan θ = {{{ 3/2 }}} & cos θ < 0, use the fundamental identities to evaluate the remaining five trigonometric functions of theta.