Posted by kate on Monday, January 25, 2010 at 8:11pm.
find delta in each of the following case:
tan delta=0.75

pre calc  MathMate, Monday, January 25, 2010 at 8:18pm
The domain of tan(x) is from π/2 to π/2. So the reference angle for tan(δ)=0.75 is between &pi/2; to 0.
Having found the reference angle δ (approx. 0.64 radians), the general solution will be
δ+kπ where k=an integer.

pre calc  kate, Monday, January 25, 2010 at 8:22pm
so what will be the solution

pre calc  MathMate, Monday, January 25, 2010 at 11:17pm
A precalculus answer is 0.64 + kπ radians, where k∈ℤ.

pre calc  MathMate, Monday, January 25, 2010 at 11:20pm
The reason for the kπ is because tangent is a periodic function, with period equal to π radians.
Also, for your solution, you will need to evaluate more accurately (accuracy according to instructions, 34 decimals normally) the value of arctan(0.75).
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