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xenn [34]
3 years ago
14

Please help me with question 2

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

sin(-a)= -15 /17

Step-by-step explanation:

Alright, lets remember that sin(x) is odd function, which means that

wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following

sin(-a)= - sin(a)

Now, other thing to remember: (sin(x))^{2}+(cos(x))^{2}=1

So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:

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

So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)

sin(a)=\sqrt{1 - (cos(a))^{2} } = \sqrt{1 - ( \frac{8}{17} )^{2}  }= \sqrt{\frac{225}{289} }  =15/17

Using the odd function property, we get the following result

sin(-a)= - sin(a) = -15/17

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