There are six trigonometric ratios which are sin, cos, tan, csc,sec,and cot.
In this problem, we have to find b, we have to determine which trigonometric ratio we have to use. The side we are looking for is opposite angle B. therefore the ratio should have opposite and adjacent which is tangent (tan),
Using the formula of the trig ratio, substitute the values on the given formula. Multiply both sides by 8 to move the 8 to the other side and solve.
eg.1. Find b
b
c
a
8m
c tan 25'= b
tan b = opp
B
8
adj
b =3.7m
8*tan 25' = b
eg.1. Find b
3.7m
c
Now, it's time to find c, and since we already found b, we can now use the pythagorean theorem. Repeat the same process, but this time using the trig ratio cosines (cos).
a
Instead of solving it and stopping there, we have to divide both sides by cos 25 degrees and then solve to get the final answer.
8m
B
c cos 25' = 8
cos B = adj
hyp
c=8.8m
c
c = 8
cos 25'
c* cos 25' =8
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