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Aliun [14]
3 years ago
13

Cos(x)= 40/41 and x lies in Q4. Find sin(x)

Mathematics
2 answers:
V125BC [204]3 years ago
5 0

Answer:

sinx =-9/41

Step-by-step explanation:

cos x= adjacent/hypotenuse = 40/41

sin x = opposite/ hypotenuse = x/41

how do we find o? pythagorean theorem

o²=41² -40²

0= + or - 9

Now is 9 negative or positive?

well since the graph is in quadrant 4, according to CAST Rule, Sin will always be negative

therefore o =-9

sinx = -9/41

notka56 [123]3 years ago
4 0

Step-by-step explanation:

\sin(x)  =  \sqrt{1 -  {cos}^{2}x }

\sin(x ) =   \sqrt{1 -  { (\frac{40}{41} )}^{2} }

\sin(x)  =  \sqrt{ \frac{1681 - 1600}{1681} }  =  \sqrt{ \frac{81}{1681} }

sin(x)=±9/41

As x lies in Quadrant 4 , sin(x) = -9/41

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