Question

if 3 tan a=4 then find sin
a and cos a​

Answer 1

Answer:

4/5; 3/5

Step-by-step explanation:

3 tan a = 4  

 tan a = 4/3

  tan a= opp/adj = 4/3  

   hyp² =s²+s²

   h²  = 16 +9

   h² = 25  

   h = 5

sin a = opp / hyp

         = 4/5

cos a = adj/hyp

         = 3/5

∴sin a= 4/5

Answer 2

CORRECT QUESTION :-

◉ If 3tan A = 4 , Then Find the value of Sin A and Cos A.

GIVEN :-

◉ 3tan A = 4 .

TO FIND :-

◉ The value of Sin A and Cos A.

SOLUTION :-

➺ 3tan A = 4.

• Transpose 3 to R.H.S.

➺ tan A = 4/3

• Here as know that, tan A = Opposite side/adjacent side.

➺ Opposite Side (AB) = 4.

➺ Adjacent Side (BC) = 3.

☢ By pythagoras theorem in ⊿ ABC ,

➔ AB² + BC² = AC²

➔ 4² + 3² = AC²

➔ 16 + 19 = AC²

➔ 25 = AC²

➔ AC = √25

➔ AC = 5.

❏ Hence the Hypotenuse (AC) = 5.

_________________________________________________________

➺ Sin A = Opposite side/Hypotenuse.

• Here Opposite side = 4 And Hypotenuse = 5.

➺ Sin A = 4/5.

❏ Hence the value of sin A = 4/5.

➺ Cos A = Adjacent sides/Hypotenuse.

• Here Adjacent side = 3 And Hypotenuse = 5.

➺ Cos A = 3/5.

❏ Hence the value of cos A = 3/5.