manishagiri1199
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find the value of sin 0 in each of the following figures.​

Find The Value Of Sin 0 In Each Of The Following Figures class=

Sagot :

elcharly64

Answer:

[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:

[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]

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