Question
Question: How do you solve \[\cos x=\sin 2x\sin x\]?...
How do you solve cosx=sin2xsinx?
Explanation
Solution
In this problem, we have to solve and find the value of x from the given trigonometric expression. We should know that to solve these types of problems, we should know some trigonometric formulas, rules, properties to apply and solve. We should also know some sine and cosine degree values to get the exact solution.
Complete step by step answer:
We know that the given expression to be solved for x is,
cosx=sin2xsinx ….. (1)
We know that the trigonometric identity,
sin2x=2sinxcosx
We can apply the above trigonometric identity in the expression (1), we get