SOLUTION: A) Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. csc 23� B) Convert the angle measures t

Question 1041618:
A)
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
csc 23�
B)
Convert the angle measures to degrees, minutes, and seconds. Round seconds to whole units, if necessary.
57.36� ...........(I got 57 21' 36" ) but they counted it wrong....
C)
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.
4X+7Y=0 IN quadrant II
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

B. They shouldn't have marked it wrong unless you left the degree symbol off of the 57 part when you submitted your answer.

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A)
Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
csc 23� = sec(90-23) = sec(67 deg)
-----------------------------------
B)
Convert the angle measures to degrees, minutes, and seconds. Round seconds to whole units, if necessary.
57.36� ...........(I got 57 21' 36" ) but they counted it wrong....
57.36 deg = 57deg (.36*60)min = 57deg 21.6min = 57deg 21min 36sec
----------------------------------------
C)
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ.
4X+7Y=0 IN quadrant II
y = (-4/7)x
If x = 7, y = -4
------
r = sqrt(7^2+4^2) = sqrt(65)
----------
sin = y/r = -4/sqrt(65)
cos = x/r = 7/sqrt(65)
tan = y/x = -4/7
------
csc = r/y = -sqrt(65)/4
sec = r/x = sqrt(65)/7
cot = x/y = -7/4
--------------------
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
Write each function in terms of its co function. Assume all angles in which an unknown... (answered by stanbon)
Given that θ is an acute angle, rewrite csc(θ-45�) an equivalent value... (answered by Edwin McCravy)
Given that θ is an acute angle, rewrite csc(θ-45�) as an equivalent value using (answered by Alan3354)
write the function in terms of the cofunction of a complementary angle tan5pi/12... (answered by Theo)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by ikleyn)
Use fundamental identities to write the first expression in terms of the second, for any... (answered by Alan3354)
Express the trigonometric function in terms of its positive acute reference angle.... (answered by Edwin McCravy)
Write the expression as the function of a positive acute angle: csc 540 degrees 39... (answered by lwsshak3)
How do you express functions in terms of the same function which has a positive acute... (answered by stanbon)