Question

fine the value of theta, if 3tan3theta=root3​

Answer 1

EXPLANATION.

⇒ 3tanθ = √3.

As we know that,

We can write equation as,

⇒ tanθ = √3/3.

⇒ tanθ = √3/(√3 x √3).

⇒ tanθ = 1/√3.

⇒ tanθ = tan(30°).

⇒ θ = 30°.

                                                                                                                     

MORE INFORMATION.

(1) sin²θ + cos²θ = 1.

(2) 1 + tan²θ = sec²θ.

(3) 1 + cot²θ = cosec²θ.

Answer 2

EXPLANATION:

$\\ \\ \\ 3 \tan θ = \sqrt{3} \\ \\ \\ \\ we \: know \: that : \\ \\ \\ \\ tan θ = \frac{ \sqrt{3} }{3} \\ \\ \\ \\ tan θ = \frac{1}{ \sqrt{3} } \\ \\ \\ \\ tan θ = tan30 \\ \\ \\ \\  θ = 30(answer)$

ADDITIONAL INFORMATION:

• In trigonometry, sin cos and tan values are the primary functions we consider while solving trigonometric problems. These trigonometry values are used to measure the angles and sides of a right-angle triangle. Apart from sine, cosine and tangent values, the other three major values are cotangent, secant and cosecant.