SOLUTION: need help on 2 problems with the directions- find all solutions of the equation in the interval (0,2pie) algebraically.
1. cosx + sinxtanx = 2
2. secxcscx = 2cscx
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-> SOLUTION: need help on 2 problems with the directions- find all solutions of the equation in the interval (0,2pie) algebraically.
1. cosx + sinxtanx = 2
2. secxcscx = 2cscx
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Question 272182: need help on 2 problems with the directions- find all solutions of the equation in the interval (0,2pie) algebraically.
1. cosx + sinxtanx = 2
2. secxcscx = 2cscx Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! find all solutions of the equation in the interval (0,2pie) algebraically.
1. cosx + sinxtanx = 2
cosx + cosx = 2
2cos(x) = 2
cos(x) = 1
x = 0 and x = 2pi
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2. secxcscx = 2cscx
2csc(x) - sec(x)*csc(x) = 0
Factor:
csc(x)[2 - sec(x)] = 0
csc(x) = 0 or sec(x) = 2
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Solutions:
csc(x) never equals 0
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sec(x) = 2 when cos(x) = 1/2
when x = pi/3 or x = (5/3)pi
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Cheers,
Stan H.
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