Find all solutions of the equation: 5 sin(t) + 8 = 14 cos"(t) There will be FOUR solutions. Two of these solutions can be written in EXACT form and two will need to be written as APPROXIMATES. Report your EXACT solutons here: When written in the simplest form, the answers have the format: t= A+ Brk and t = C+ Drk where k is any integer, 0 < A

Trigonometry (MindTap Course List)
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ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter6: Equations
Section6.1: Solving Trigonometric Equations
Problem 105PS
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Find all solutions of the equation: 5 sin(t) + 8 = 14 cos?(t)
There will be FOUR solutions.
Two of these solutions can be written in EXACT form and two will need to be written as APPROXIMATES.
Report your EXACT solutions here:
When written in the simplest form, the answers have the format:
t = A + Brk
and
t = C+ Drk
where k is any integer, 0 < A< C < 27,
A =
, В -
C =
D =
2
Report the APPROXIMATE solutions here (give E and G correct to three decimal places):
When written in the simplest form, the answers have the format:
t = E + Frk
and
t = G + Hrk
where k is any integer, 0 < E < G < 27,
E =
* 4.1712894544278
F =
G =
* 5.2534885063416
, Н-
UPLOAD YOUR WORK IN THE BOX BELOW:
Transcribed Image Text:Find all solutions of the equation: 5 sin(t) + 8 = 14 cos?(t) There will be FOUR solutions. Two of these solutions can be written in EXACT form and two will need to be written as APPROXIMATES. Report your EXACT solutions here: When written in the simplest form, the answers have the format: t = A + Brk and t = C+ Drk where k is any integer, 0 < A< C < 27, A = , В - C = D = 2 Report the APPROXIMATE solutions here (give E and G correct to three decimal places): When written in the simplest form, the answers have the format: t = E + Frk and t = G + Hrk where k is any integer, 0 < E < G < 27, E = * 4.1712894544278 F = G = * 5.2534885063416 , Н- UPLOAD YOUR WORK IN THE BOX BELOW:
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