SOLUTION: Is an acute angle and sin 0 is given. Use the Pythagorean identity sin^2 + cos^2=1 find cos 0 (a) sin 0= (6/7) (b)sin 0= (sqrt(21))/5 Show work please! I really need

Algebra ->  Trigonometry-basics -> SOLUTION: Is an acute angle and sin 0 is given. Use the Pythagorean identity sin^2 + cos^2=1 find cos 0 (a) sin 0= (6/7) (b)sin 0= (sqrt(21))/5 Show work please! I really need      Log On


   



Question 851076: Is an acute angle and sin 0 is given. Use the Pythagorean identity
sin^2 + cos^2=1 find cos 0
(a) sin 0= (6/7)

(b)sin 0= (sqrt(21))/5
Show work please!
I really need it! Thank you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Is an acute angle and sin 0 is given. Use the Pythagorean identity
sin^2 + cos^2=1 find cos 0
(a) sin 0= (6/7)
(6/7)^2 + cos^2(t) = 1
cos^2(t) = 1-(36/49)
cos^2(t) = 13/49
cos(t) = +/- sqrt(13)/7
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(b)sin 0= (sqrt(21))/5
(21/5)^2 + cos^2(t) = 1
cos^2(t) = 1 - 21/25 = 4/25
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cos(t) = +/- 2/5
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Cheers,
Stan H.
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