3a)Use the substitutions 𝑥 = 2𝑡𝑎𝑛𝜃, 0 < θ < π2 to express √4 + 𝑥2 as a trig function of θ? 3b) Solve for the general solutions of the trigonometric equation 𝑠𝑖𝑛𝑥 + √2 = −𝑠𝑖𝑛𝑥
1 Answer
Apr 8, 2018
For a:
We can substitute in the given value for
Since
For b:
Using the unit circle we see that this happens at
and then every revolution past, i.e.