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Find sin A and cos A

A) sin A = 3/5; cos A = 4/5
B) sin A = 4/5; cos A = 3/5
C) sin A = 5/4; cos A = 4/5
D) sin A = 4/3; cos A = 3/4

Find sin A and cos A A sin A 35 cos A 45 B sin A 45 cos A 35 C sin A 54 cos A 45 D sin A 43 cos A 34 class=

Respuesta :

rr1187653

Answer:

B

Step-by-step explanation:

sinA=opp/hyp

sinA=16/20=4/5

cosA=adj/hyp

cosA=12/20=3/5

absor201

Answer:

We found sinA= 3/5 and cosA=4/5

Option A is correct.

Step-by-step explanation:

The formula to find sin A is :

[tex]sin A = \frac{Perpendicular}{Hypotenuse}[/tex]

while the formula to find cos A is:

[tex]cosA=\frac{Base}{Hypotenuse}[/tex]

So, in the figure given:

Base = 16

Perpendicular = 12

Hypotenuse = 20

Now, finding sin A and cos A using formulas and above values

[tex]sin A = \frac{Perpendicular}{Hypotenuse}\\sin A = \frac{12}{20}\\sinA=\frac{3}{5}[/tex]

[tex]cosA=\frac{Base}{Hypotenuse}\\cosA=\frac{16}{20}\\cosA=\frac{4}{5}[/tex]

So, we found sinA= 3/5 and cosA=4/5

Option A is correct.

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