Anikate
  • Anikate
find all solutions: sec^2 theta -sec theta -2= 0 i'll post the equation
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Anikate
  • Anikate
|dw:1434503139480:dw|
mathstudent55
  • mathstudent55
This 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
  • Anikate
|dw:1434503305674:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Anikate
  • Anikate
now substitute x for \[\sec \theta\] ?
anonymous
  • anonymous
in coordination with what 'mathstudent55' here is a picture.
1 Attachment
mathstudent55
  • mathstudent55
No. 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.
Anikate
  • Anikate
oh
anonymous
  • anonymous
now solve for x
Anikate
  • Anikate
|dw:1434503782102:dw|
Anikate
  • Anikate
ok
mathstudent55
  • mathstudent55
|dw:1434503819026:dw|
Anikate
  • Anikate
|dw:1434503813310:dw|
Anikate
  • Anikate
|dw:1434503847634:dw|
anonymous
  • anonymous
look at the pic i attached
mathstudent55
  • mathstudent55
|dw:1434503868680:dw|
mathstudent55
  • mathstudent55
Good. we have the same. Now find the two values of x.
mathstudent55
  • mathstudent55
Can you finish the quadratic and find the values of x? |dw:1434504047082:dw|
Anikate
  • Anikate
x= 2 and x=-1 @mathstudent55
mathstudent55
  • mathstudent55
Correct. 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
  • mathstudent55
Since above we let sec(theta) equal x, we replace x with what it really is, sec(theta)
mathstudent55
  • mathstudent55
|dw:1434504659195:dw|
mathstudent55
  • mathstudent55
Now we need to solve for theta.
mathstudent55
  • mathstudent55
The secant is the reciprocal of what trig function?
mathstudent55
  • mathstudent55
|dw:1434505158584:dw|
mathstudent55
  • mathstudent55
Where is the cosine function equal to 1/2, and where is the cosine function equal to -1?

Looking for something else?

Not the answer you are looking for? Search for more explanations.