Question #48162
Find all the values of θ between 0 and 2π for which cos θ/2 = √(1+sinθ ) - √(1- sinθ ) is true.
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Dear Mr. X. In any case we need inverse trigonometric functions. To less complicated calculations, you can assume that angle lies in the certain region of unit circle such that cos(angle)=3/5, sin(angle)=4/5 and regard other cases.
See, the thing is that we haven't learnt inverse ratios yet, so is there any way to solve it without using inverse trigonometry?