Use trigonometric identities to solve the trigonometric equation sin(2∅)-cos(∅)=0 for 0≤∅≤2π. You must show all of your work ana
lytically.
1 answer:
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
2sin(x)cos(x) - cos(x) = 0
so one solution is cos(x) = 0.
=> x = pi/2 and 3pi/2 (90° and 270°)
for cos(x) <> 0 we have then
2sin(x) - 1 = 0
2sin(x) = 1
sin(x) = 1/2
=> x = pi/6 and 5pi/6 (30° and 150°)
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Answer:
<h2>
y = 3x - 16</h2>
Step-by-step explanation:
Equation of line with a given slope of a and containing a given point (x₀, y₀):
y - y₀ = a(x - x₀)
a = 3, x₀ = 5, y₀ = -1
So:
y - (-1) = 3(x - 5)
y = 3x - 15 - 1
<u>y = 3x - 16</u>
I get:
24 = 3x-12
add 12 to both sides
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divide each side by 3 and you will get 12
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