In right triangle ABC with right angle at C, find sin A, cos A and tan A, if side a = 8, side b = 15 and side c = 17. sin A=cos
1 answer:
In right triangle ABC with right angle at C, find sin A, cos A and tan A, if side a = 8, side b = 15 and side c = 17.
sin A=
cos A=
tan A=
see the attached figure to better understand the problem
step 1
Find sin(A)
sin(A)=BC/AB ------> opposite side divided by the hypotenuse
substitute given values
<h2>sin(A)=8/17</h2>step 2
Find cos(A)
cos(A)=AC/AB -----> adjacent side divided by the hypotenuse
substitute
<h2>cos(A)=15/17</h2>step 3
Find tan(A)
tan(A)=BC/AC ---> opposite side divided by the adjacent side
<h2>tan(A)=8/15</h2>
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Answer:
The measure of angle x is
Step-by-step explanation:
To find the measure of angle X, apply the law of cosines
The law of cosines states that
In this problem we have
substitute
Therefore
The measure of angle x is