To solve the equation sin2x sin2x20 on 0 2 would first sol

To solve the equation sin\"(2x) + sin(2x)-2-0 on [0, 2), \' would first solve for 2x and then solve for x 2. To solve the equation sinx +sin(2x) 0 on [0,2m), I would first use the trig identity sin(2x) 2sinxcosx. How can you tell simply by looking at the statement of the problem, whether to solve for the multiple angle first or to use an identity? (2 pts.)

Solution

2. A) In this equation, if u see carefully we get a quadratic equation ( if we assume sin2x =y) which can be easily solve and hence we will get solution in terms of 2x

B) Here , RHS is zero. So if I will use identity , one sinx will come common and then we can proceed to solve for x.