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The value of sides of the right triangle are a = 3 units, b = 12.47 units and c = 11.21 units.

Define the term trigonometric identities?

  • Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
  • There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.

For the given question-

The length of the side are-

a = 3 units

Angle B = 64°.

Then,

Applying trigonometric properties-

Tan B = b/a

b = a tan B

b = 3 tan 64°

b = 12.47 units

Now,

Sin B = b/c

c = b sin B

c = 12.47 sin 64°

c = 11.21 units.

Thus, the value of sides of the right triangle are a = 3 units, b = 12.47 units and c = 11.21 units.

To know more about the trigonometric identities, here

https://brainly.com/question/7331447

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