SOLUTION: draw the diagrams and find the 2 values of θ, 0 degrees ≤ θ ≥ 360 degrees (a) tan θ= -0.4663 (b) cos θ= -0.3420

Algebra ->  Trigonometry-basics -> SOLUTION: draw the diagrams and find the 2 values of θ, 0 degrees ≤ θ ≥ 360 degrees (a) tan θ= -0.4663 (b) cos θ= -0.3420      Log On


   

Question 1188571: draw the diagrams and find the 2 values of θ, 0 degrees ≤ θ ≥ 360 degrees
(a) tan θ= -0.4663

(b) cos θ= -0.3420
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

I ask my calculator about arctan(-0.4663) in degrees.

It gives me the value of -25°.


It is the angle in QIV, equivalent to -25+360 = 360-25 = 335 degrees.


Another angle with this value of tan is in QII;  it is  -25° + 180° = 155°.


So, the two angles for this part of the problem are  155° in QII and  335° in QIV.

So, the first part is solved and completed.


Can you make the second part in a similar way ?

You may report me about your progress and/or your final answer.


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Comment from student :  for the cos θ= -0.3420 ,  the angles are  110  and  250,  is that correct?


My response :   It is correct.

                        Good job !   My congratulations !