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Using the following triangle, what is the tangent of angle B?

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Using the following triangle, what is the tangent of angle B?
Right triangle with right angle labeled capital C and acute angles capital A and capital B.  Sides are labeled with lower case letters a, b, and c and are each opposite the angle with the same letter.
A. tangent of B equals a divided by b
B. tangent of B equals b divided by a
C. tangent of B equals a divided by c
D. tangent of B equals c divided by b
 
Find angle A in the following triangle.
right triangle with acute angle A and side adjacent to A equal to 2 and hypotenuse equal to 3
A. 50.67°
B. 49.23°
C. 48.19°
D. 51.89°

 

asked Sep 19, 2014 in TRIGONOMETRY by tonymate Pupil

2 Answers

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1)

tan B = Opposite side/ Adjacent side

Here opposite side of B is b and adjacent side B is a 

tanB = b/a

Option B is correct .

 

 

answered Sep 20, 2014 by bradely Mentor
0 votes

2)

cos A = Adjacent side/ hypotenuse

Here adjacent side of A is 2 and hypotenuse of  A is 3

cos A =2/3

        =0.667

  A =   48.19                  

Option C is correct .

answered Sep 20, 2014 by bradely Mentor

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