Given A is an acute angle and 13sin A = 5 evaluate : (5sin A - 2cos A)/(tan A) (trigonometry ratios)
Answers
Answered by
1
Answer:
answers
Step-by-step explanation:
(5sinA-2cosA)/tanA
=(5×5/13 - 2×12/13)5/12
=(25/13 - 24/13)5/12
=(1/13)/(5/12)
=(1×12)/(13×5)
=12/65
Answered by
4
Answer:
Given : A is an acute angle
13Sin A = 5
To find : (5sin A - 2cos A )/( tan A )
Solution :
13Sin A = 5
Or Sin A =
We know that Sin A =
Thus , Perpendicular = 13 units and Hypotenuse = 5 units
By using Pythagorean theorem ,
H² = P² + B²
(13)² = 5² + B²
169 - 25 = B²
144 = B²
B = √144
B = 12 units
Cos A =
Cos A =
Tan A =
Tan A =
Evaluate : (5sin A - 2cos A)/(tan A)
= 5 × - 2 ×
=
=
Now divide it by Tan A that is 5/12
=
=
=
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