If tan A= 4/3 , then the value of sin A + cos A is
Answers
Answered by
0
Answer:
tan A= 4/3 , then the value of sin A + cos A is
Step-by-step explanation:
Let Δ ABC be a right angled
∠ACB=θ
Given that, tan θ = 4/3
(AB/BC = 4/3)
Give that, tan θ = 4/3
(AB/BC = 4/3)=
Let AB = 4x,
then BC = 3x
In right angled ΔABC
By Pythagoras theorem, we get
AC
2
=AB
2
+BC
2
AC
2
=(4x)
2
+(3x)
2
AC
2
=16x
2
+9x
2
AC
2
=25x
2
AC
2
=(5x)
2
AC=5x
Sin θ = perpendicular/Hypotenuse
= AB/AC
= 4x/5x
= 4/5
cos θ = Base/Hypotenuse
= BC/AC
= 3x/5x
= 3/5
Similar questions