Question

If five tan theta is equal to 12 find 13 sign theta upon three

Answer 1

Answer:

The value of 13/3 sin theta is 4.

Step-by-step explanation:

Consider the provided information.

5 \tan \theta = 125tanθ=12

\tan \theta = \frac{12}{5}tanθ=

5

12

\tan \theta = \frac{Perpendicular}{Base}= \frac{12}{5}tanθ=

Base

Perpendicular

=

5

12

Therefore, Perpendicular= 12 and Base = 5.

Now use Pythagorean theorem.

(Hypotenuse)^2=(Perpendicular)^2+(Base)^2(Hypotenuse)

2

=(Perpendicular)

2

+(Base)

2

(Hypotenuse)^2=(12)^2+(5)^2(Hypotenuse)

2

=(12)

2

+(5)

2

(Hypotenuse)^2=144+25(Hypotenuse)

2

=144+25

(Hypotenuse)^2=169(Hypotenuse)

2

=169

Hypotenuse=13Hypotenuse=13

\frac{13}{3}\sin \theta=\frac{13}{3}\times \frac{Perpendicular}{Hypotenuse}

3

13

sinθ=

3

13

×

Hypotenuse

Perpendicular

\frac{13}{3}\sin \theta=\frac{13}{3}\times \frac{12}{13}=4

3

13

sinθ=

3

13

×

13

12

=4

Hence, \frac{13}{3}\sin \theta=4

3

13

sinθ=4 .

#Learn more

If tan theta=2

Step-by-step explanation:

i hope it's helpful.