SOLUTION: please help me with the following questions 1. Determine the value of the following expression without using a calculator? tan210degrees x sin 240 degrees x cos 180 degrees divid

Question 582305: please help me with the following questions
1. Determine the value of the following expression without using a calculator?
tan210degrees x sin 240 degrees x cos 180 degrees divided by 405 degrees sin (-225degrees)
2. If tan 25degreees = a, determine in terms of a the value of:
tan205degrees - tan115degrees divided by tan245degrees + tan335degrees.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The trigonometric functions of angles in the second, third and fourth quadrants have the same absolute value as the trigonometric functions of a reference angle in the first quadrant. The reference angle is a reflection on one of the axes (x axis or y axis, or on the origin.
The trigonometric functions of , , , , and , are all you need when they say "without using a calculator."
1. so
so

I don't know what is doing, all by itself in your problem. I expected to see some trigonometric function of , not just the angle measure. In any case,
, so the trigonometric functions for are the same as for . (They are co-terminal angles).
, so
2. If , since , .
From there you can find the tangents of angles that have or as reference angle.
, so
, so
, so
, so
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