Question

if sin a=3/4 calculate cos a and tan a​

Answer 1

Answer:

cosa=√7/4 tana=3/√7

Step-by-step explanation:

given

sina=3/4

cos^2a=1-sin^2a

(cosa)^2=1-9/16

cosa=√7/4

tana=sina/cosa

tana=3/√7

Answer 2

Step-by-step explanation:

We know that

Sin θ = $\frac{ Opposite \: side }{ Hypotenuse }$

• Sin a = $\frac{ 3 }{ 4 }$

Let,

• Perpendicular = 3
• Hypotenuse = 4

By Pythagoras theorem :-

$= > {hyp}^{2} \: = \: \sqrt{ {(height)}^{2} \: + \: {(base)}^{2} }$

$= > {(4)}^{2} = \sqrt{ {(ab)}^{2} \: + \: {(3)}^{2} }$

=> 16² = ab² + 9²

=> 16² - 9² = ab²

=> 7² = ab²

=> ab = √(7) ²

=> ab = 7

Adjacent side = 7

Cos θ = $\frac{ Adjacent \: Side }{ Hypotenuse }$

• Cos a = $\frac{ 7 }{ 4 }$

Tan θ = $\frac{ Opposite \: side }{ Adjacent \: side }$

• Tan a = $\frac{ 3 }{ 7 }$