SOLUTION: if cos^-1(-2/7)=x, find the exact value for each: sinx,cosx, tanx, cotx, secx,& cscx?

Algebra ->  Trigonometry-basics -> SOLUTION: if cos^-1(-2/7)=x, find the exact value for each: sinx,cosx, tanx, cotx, secx,& cscx?      Log On


   



Question 502826: if cos^-1(-2/7)=x, find the exact value for each: sinx,cosx, tanx, cotx, secx,& cscx?
Answer by lwsshak3(11628) About Me  (Show Source):
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if cos^-1(-2/7)=x, find the exact value for each: sinx,cosx, tanx, cotx, secx,& cscx?
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cos^-1(-2/7) is an inverse cos function which says cos of angle x=-2/7, which means you are working with a reference angle x in quadrant II where cos is negative.
sin x=√45/7
cos x=-2/7 (given)
tan x=-√45/2
csc x=7√45/45
sec x=-7/2
cot x=-2√45/45