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Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.
 one year ago
 one year ago
Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.
 one year ago
 one year ago

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myininayaBest ResponseYou've already chosen the best response.0
So if we have x=arccos(3/5) then cos(x)=3/5. Draw a right triangle and use cos(x)=3/5 to find the other missing leg. then evaluate sin(x)
 one year ago

calmat01Best ResponseYou've already chosen the best response.1
Myininaya has it down, abc. You should follow myininaya's hint.
 one year ago

abc12313Best ResponseYou've already chosen the best response.1
im sorry i still dont understand it could you explain it more? like is it like pythagorean therom?
 one year ago

calmat01Best ResponseYou've already chosen the best response.1
Exactly. recall that cosx is just adjacent over the hypotenuse. So, your adj side is 3 and your hypotenuse is 5. Now just find the missing side by applying pythagorean's theorem and then go back and answer your question.
 one year ago

phiBest ResponseYou've already chosen the best response.0
yes For full credit, explain your reasoning.
 one year ago

abc12313Best ResponseYou've already chosen the best response.1
I drew a right triangle I used cos(x)=3/5 to find the other missing leg. I know that cosx is just adjacent over the hypotenuse. So, the adj side is 3 and your hypotenuse is 5. I found the missing side by applying pythagorean's theorem and my answer is 4/5
 one year ago

abc12313Best ResponseYou've already chosen the best response.1
@phi is this a good answer?
 one year ago

phiBest ResponseYou've already chosen the best response.0
yes, sounds good (but I would leave out the "just" in "just adjacent over hypotenuse" I found the missing side by applying pythagorean's theorem I would add "and it is 4" then add the definition of the sin: opposite over adjacent
 one year ago

abc12313Best ResponseYou've already chosen the best response.1
okay thank you so much everyone for all of your help!!!
 one year ago
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