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Anikate
 one year ago
find all solutions:
sec^2 theta sec theta 2= 0
i'll post the equation
Anikate
 one year ago
find all solutions: sec^2 theta sec theta 2= 0 i'll post the equation

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is a quadratic equation in sec theta. You can do a substitution. Replace sec theta with x. Solve the quadratic. Then replace x with sec theta in all the solutions and solve the trig part.

Anikate
 one year ago
Best ResponseYou've already chosen the best response.0now substitute x for \[\sec \theta\] ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in coordination with what 'mathstudent55' here is a picture.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. That is not what I meant. Don't just replace theta with x. Let sec(theta) = x Then sec^2(theta) = x^2 Now rewrite the original equation with x^2 instead of sec^2(theta) and with x instead of sec(theta). That's the substitution you make.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434503819026:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0look at the pic i attached

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434503868680:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Good. we have the same. Now find the two values of x.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Can you finish the quadratic and find the values of x? dw:1434504047082:dw

Anikate
 one year ago
Best ResponseYou've already chosen the best response.0x= 2 and x=1 @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. We have finished solving the quadratic equation part of this problem. Now we need to solve the trig part of this equation. We now need to substitute back what we did above. dw:1434504555288:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since above we let sec(theta) equal x, we replace x with what it really is, sec(theta)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434504659195:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we need to solve for theta.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The secant is the reciprocal of what trig function?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434505158584:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Where is the cosine function equal to 1/2, and where is the cosine function equal to 1?
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