.
Introduce new variable x = .
Then your equation will take the form
= 0.
It is a quadratic equation. Apply the quadratic formula to solve it:
= = .
1) Case 1: = = ====> = ====> = = .
2) Case 2: = = -1 ====> = + .
Answer. The solutions are , and .
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To see many other solved problems on trigonometry equations and to learn more about this subject, look into the lessons
- Solving simple problems on trigonometric equations
- Solving typical problems on trigonometric equations
- Solving more complicated problems on trigonometric equations
- Solving advanced problems on trigonometric equations
- Proving Trigonometry identities
- OVERVIEW of lessons on calculating trig functions and solving trig equations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Trigonometry: Solved problems".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.