Math  /  Trigonometry

QuestionTan60×7=\operatorname{Tan} 60 \times 7=

Studdy Solution

STEP 1

1. We are given an expression involving the tangent of an angle.
2. The angle provided is in degrees.
3. We need to calculate the tangent of the angle and then multiply it by 7.

STEP 2

1. Calculate the tangent of 60 degrees.
2. Multiply the result by 7.

STEP 3

Calculate the tangent of 60 degrees. From trigonometric identities, we know:
Tan60=3 \operatorname{Tan} 60^\circ = \sqrt{3}

STEP 4

Multiply the result by 7:
3×7=73 \sqrt{3} \times 7 = 7\sqrt{3}
The value of the expression is:
73 \boxed{7\sqrt{3}}

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