## anonymous 2 years ago IF $4\sin+4\cos=0$ THEN FIND OTHER TRIGONOMETRIC RATIOS.

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1. Directrix

4 sin x + 4 cos x = 0 sin x + cos x = 0 sin x = -cos x The values of x which makes this true are additive inverses. Recall that sine and cosine are equal when x = 45 degrees. For these to be additive inverses, the angle x will lie in quadrants where x and y have different signs.

2. anonymous

but what will be other ratios

3. anonymous

cosec x sec x tan x cot x

4. anonymous

first, what is $$x$$ such that $sin x = -\cos x$ once you have that value(s), evaluate the other functions $$\sin x, \cos x, \tan x, \cot x\, \sec x,$$ and $$\csc x$$

5. anonymous

but tan tan x is coming cos/sin which should be sin/cos