Please show work. i want to really understand it for my exam coming up. I'm so thankful that people actually take out the time to help me out..Its well appreciated..
* There was a picture of a triangle along with this problem...AB is x....BC is z and AC is Y..
Find the exact values ( in lowest terms) of sin A and cos A using the right triangle in the box and the information x= 36, y= 60 and z= 48
a). sin A = 5/4 ; cos A = 5/3
b). sin A= 3/5 ; cos A= 4/5
c). sin A= 4/3; cos A= 3/4
d). sin A= 4/5; cos A= 3/5
2007-05-03 08:38:16 · 6 answers · asked by Maria J 1 in Science & Mathematics ➔ Mathematics
The answer is D since the hypotenuse is 60 and the two legs are 36 and 48--remember that sinx=opposite/hypotenuse and cosx=adjacent/hypotenuse.
2007-05-03 08:45:38 · answer #1 · answered by bruinfan 7 · 0⤊ 0⤋
In calculating, first we need to know that
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
Thus, sin A = 48/60 = 4/5
and cos A = 36/60 = 3/5
"d" is your answer for this question.
Have a wonderful weekend. I am not crazy about trig buit I would be glad to assist at any time.
Eds
2007-05-03 08:51:04 · answer #2 · answered by Eds 7 · 0⤊ 0⤋
The picture would help, but it can't be a) or c) because neither sine nor cosine can be greater than 1.
It depends which angle is A. Is it the angle whose opposite side is 3, with hypotenuse 5? Then the answer is b) because sin = opp/hyp = 3/5. If opposite side is 4, with hypotenuse 5, then the answer is d) because sin =4/5.
2007-05-03 08:46:46 · answer #3 · answered by fcas80 7 · 0⤊ 0⤋
The triangle is right angled because 36²+48²=60²
So we can use the trig ratios
SIN = OPP / HYP
COS = ADJ / HYP
TAN = OPP / ADJ
In relation to angle A...
ADJACENT side is 36
OPPOSITE side is 48
HYPOTENUSE is 60
So SIN A = OPP/HYP = 48/60 = 4/5
and COS A = ADJ/HYP = 36/60 = 3/5
(answer D)
2007-05-03 08:48:53 · answer #4 · answered by joncummins1968 4 · 0⤊ 0⤋
You need a calculator and some definitions of formulas. It's not hard. Revise your lessons. The hypotenuse is the longest line in your triangle and it can't be changed. Come on, you can do it.
2007-05-03 08:44:45 · answer #5 · answered by Felicia 2 · 0⤊ 0⤋
This may help with all trigonometry questions you may have.
SOH CAH TOA
Sine=Opposite divided by hypontenuese
Cosine=Adjacent divided by hypotenuese
Tangent=Opposite divided by adjacent
Hope this helps.
2007-05-03 08:50:29 · answer #6 · answered by leavemealone 3 · 0⤊ 0⤋