if 3tan A=4 and A and B are complementary angles ,use a diagram to calculate the value of 5cos A +8tan B

Question

Draw a triangle

Answer 1

Draw a triangle!!!!

If 3 tan A = 4, then tan A = 4/3

x = 3 and y = 4, hypotenuse = ?

Now calculate the requested.

Answer 2

if 3tan A=4 and A and B are complementary angles ,use a diagram to calculate the value of 5cos A +8tan B

 

A+B = 90

 

3tanA=4

3A=(tan^-1)4

3A=76 degrees

A= 25 degrees

 

A+B=90

25 +B=90

B=65 degrees

 

 

5cos A +8tan B

 

 

5cos25 + 8tan65 =

4.5       +  17.2     = 21.7