SOLUTION: TRIGONOMETRY
A. Find the exact solution to each equation for the interval 0°≤x<360°.
3. cosx = 2sinx
4. secx/1+secx = sec²x/2+secx <--(fraction form)
(Show full soluti
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-> SOLUTION: TRIGONOMETRY
A. Find the exact solution to each equation for the interval 0°≤x<360°.
3. cosx = 2sinx
4. secx/1+secx = sec²x/2+secx <--(fraction form)
(Show full soluti
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Question 1189942: TRIGONOMETRY
A. Find the exact solution to each equation for the interval 0°≤x<360°.
3. cosx = 2sinx
4. secx/1+secx = sec²x/2+secx <--(fraction form)
(Show full solution)
Thank you! :) Found 2 solutions by Alan3354, MathLover1:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the exact solution to each equation for the interval 0°≤x<360°.
3. cosx = 2sinx
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cos^2(x) = 4sin^2(x)
1 - sin^2(x) = 4sin^2(x)
5sin^2(x) = 1
sin^2(x) = 1/5
sin(x) = sqrt(5)/5
x = ~ 29.517 degs
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sin(x) = -sqrt(1/5)
x = ~ - 29.517 degs --- extraneous, ignore
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Sine and cosine have the same sign, pos or negative, in Q1 and Q3.
Check for 29.517 + 180 degs
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4. secx/1+secx = sec²x/2+secx <--(fraction form)
Ambiguous - add parentheses
