Question

tan theta = 1/√3 then theta is equal to​

Answer 1

Tan Θ = 1/√3

Θ = 30°

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Answer 2

Question

Tan θ = $\frac{1}{√3}$ . Then θ is equal to...

Answer

$\tt tan \theta = \frac{1 }{\sqrt{3} }$

$⇾ \tt tan \theta = tan 60°$

$⇾ \tt \theta = 60°$

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Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Keep in mind

$\tt \: ⇨sin = \frac{perpendicular}{hypotenuse} \\ \\ \tt \: ⇨cos = \frac{base}{hypotenuse} \\ \\ \tt \: ⇨tan = \frac{perpendicular}{base} \\ \\ \tt ⇨cot = \frac{base}{perpendicular} \\ \\ \tt \: ⇨sec = \frac{hypotenuse}{base} \\ \\ \tt \: ⇨cosec = \frac{perpendicular}{hypotenuse}$