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anonymous
 one year ago
If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in complete sentences.
anonymous
 one year ago
If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in complete sentences.

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freckles
 one year ago
Best ResponseYou've already chosen the best response.1make a right triangle then use cos(x)=1/2 then use Pythagorean theorem to figure out opposite side of x

freckles
 one year ago
Best ResponseYou've already chosen the best response.1then you have everything you need to find sin(x) and tan(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u guide me @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1which part do you need help on?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1did you draw the right triangle yet?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1ok then use cos(x)=1/2 remember cosine, think adjacent/hyp

freckles
 one year ago
Best ResponseYou've already chosen the best response.1then use the Pythagorean theorem to find the opp side can you do that?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1well we know the Pythagorean theorem says: \[opp^2+adj^2=hyp^2 \\ \text{ and we know the } adj \text{ and the hyp } \\ \text{ just solve for opp}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0adj is 1 and hyp is 2?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yes this was given by cos(x)=1/2 you could also use any thing that reduces down to 1/2 for example cos(x)=10/20 and call the adj=10 and hyp=20 but it doesn't matter in the end we will get the same reduced fractions so yes you can use adj=1 and hyp=2

freckles
 one year ago
Best ResponseYou've already chosen the best response.1have you solved for opp yet?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if you have you can find sin(x) and tan(x)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[oop^2+1^2=2^2 \\ oop^2+1=4\] 41 isn't 5 should be 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[opp^2=41 \\ opp^2=3 \\ opp= \pm \sqrt{3}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so you have two answers for both sin(x) and tan(x) because of the plus or minus thing

freckles
 one year ago
Best ResponseYou've already chosen the best response.1anyways recall sin(x)=opp/hyp and tan(x)=opp/adj

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sin(x) = 3/2 tan(x) = 3/1 = 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1what happen to the sqrt( ) part ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1also you should have two answers for each

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\sin(x)=\frac{ \pm \sqrt{3}}{2} \text{ this is the two answers for } \sin(x) \] now you try tan(x)=?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how did you get the root sighn tho

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[opp^2+adj^2=hyp^2 \\ opp^2+1^2=2^2 \\ opp^2=41 \\ opp^2=3 \\ \text{ \to solve an equation like this you take square root of both sides }\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1but it will also mean you wind up with two possibilities since sqrt(opp^2)=opp=opp if opp>0 but =opp if opp<0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. Thank You so so so so much!!!!!!!!!!!!!!!!!!!
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