The value of the perpendicular is 12 and the hypotenuse will be 8√3.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
The value of the sides will be calculated.
The perpendicular side will be calculated by using tan theta formula.
tan Ф = Perpendicular / BAse = P / 4√3
P = 4√3 x tan(60)
P = 4 √3 x √3
P = 12
The value of the hypotenuse will be calculated by using the Cos angle;
Cos 60 = Base \ Hyputenuse.
Cos 60 = 4√3 / Hypotenuse
1 / 2 = 4√3 / Hypotenuse
Hypotenuse = 2 x 4 x √3 = 8√3
Therefore, the value of the perpendicular is 12 and the hypotenuse is 8√3.
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