Question

Solve tan(theta-14 π) into its simplest forms

Answer 1

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Answer 2

Answer:

The simplest form is $tan\theta$

Explanation:

The tangent ratio for angle is defined as the ratio of the perpendicular to the base.

From the question, we have

$tan(\theta-14 \pi) \\= -tan(14 \pi-\theta) \\= -tan(7 \times2 \pi-\theta) \\= tan\theta \ [tan(2n \pi-\theta) = -tan\theta ]$

Trigonometric Ratio :

It is the ratio of a triangle's side lengths. These ratios connect the ratio of sides of a right triangle to the respective angle.The sine, cosine, and tangent ratios are known as trigonometric ratios (sin, cos, and tan). The ratio of the perpendicular to the hypotenuse is known to as the sine ratio for an angle. The ratio of the base to the hypotenuse is known as the cosine ratio for each given angle. The perpendicular to base ratio is the expression of the tangent ratio for an angle. The ratio of the hypotenuse to the base is known as the secant ratio.

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