SOLUTION: Please explain how to find the reference angle for the given angle:
5π/4
-5π/6
5π/3
Thank you
Algebra.Com
Question 930358: Please explain how to find the reference angle for the given angle:
5π/4
-5π/6
5π/3
Thank you
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
EXPLANATION:
The reference angle is the first quadrant angle,
an angle such that
(for the radian-impaired, that is ).
It is an angle whose trigonometric functions have the same absolute value
(you may have to change the sign to a negative sign).
It is an angle whose terminal side is symmetrical,
meaning it is reflected over the y-axis for angles in the second quadrant;
it is reflected over the x-axis for angles in the fourth quadrant,
and it is symmetrical with respect to the origin for angles in the third quadrant.
Angle is the reference angle for angles
in the second quadrant,
in the third quadrant, and
in the fourth quadrant.
EXAMPLE 1:
Expressing the boundaries of the quadrants as multiples of for your convenience, for angles between and ,
is the first quadrant;
is the second quadrant;
is the third quadrant,
and is the fourth quadrant.
What quadrant is in?
Since , is the third quadrant,
so its reference angle is .
EXAMPLE 2:
What quadrant is in?
Since ,
is also in the third quadrant.
is the reference angle.
RELATED QUESTIONS
Please explain how to find the reference angles for:
(a). 5π/4
(b).... (answered by Alan3354)
Find the reference angle t for the given angle t
(a) . t = 7π/3
(b). t =... (answered by rothauserc,Alan3354)
Find the exact value:
i. tan (5π/3) sec (-5π/6) =
ii. sin (27π/4)... (answered by lwsshak3)
Is this right? please check exact value of tan(5π/3)sec(-5π/6) and other?... (answered by Alan3354)
Please review my work for trigonometry THANKS?
Find the exact values of each of the five (answered by MathLover1)
Find the reference number for each value of t.
t = 11π/5
t = −... (answered by lwsshak3)
i was wondering how you do these problems: The directions are to find the exact value of... (answered by jim_thompson5910)
Find the reference number of t = 11π/7 and t = 11π/5?
t = 11π/7
and
(answered by AnlytcPhil)
Which angle corresponds to the point (−√2/2,−√2/2) on the Unit... (answered by josgarithmetic)