Which of the following expressions represents "the difference of 8 and n"?
1 answer:
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Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° =
cos(50)° =
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° =
sin(23)° =
a = 15sin(23)°
a = 5.86
We will use the sine and cosine of the sum of two angles, the sine and consine of 
, and the relation of the tangent with the sine and cosine:
If you use those identities, for
, you get:
Hence:
If you use those identities, for
Hence: