Question

tan(5700) का मान होगाः 1) √3 2) -1/√3 3) 1/√3 4) √3

Answer 1

Answer:

Required value of tan( 5700° ) is - √3.

Step-by-step explanation:

= > tan( 5700° )

= > tan{ 5760° - 60° }

= > tan{ 32( 180° ) - 60° }

= > tan{ 32π - 60° }

Since period for tangent of any angle is π. Value of tan( 32π - 60° ) will be same as of tan( - 60° )

= > tan( - 60° )

= > - tan60°

= > - √3

Hence the required value of tan( 5700° ) is - √3.

Answer 2

Question :--- tan(5700°) का मान होगा ?

formula used :---

→ sin (n ∙ 360° - θ) = - sin θ;

→ cos (n ∙ 360° - θ) = cos θ;

→ tan (n ∙ 360° - θ) = - tan θ;

→ csc (n ∙ 360° - θ) = - csc θ;

→ sec (n ∙ 360° - θ) = sec θ;

→ cot (n ∙ 360° - θ) = - cot θ.

Solution :---

→ tan(5700°)

→ tan(17 * 360 - 60°)

As , 5700 = 17*360 - 60 = 5760 - 60

So,

→ - tan60°

→ (- √3) [ as tan60° = √3 ] (Ans).

Hence, value of tan(5700°) is (-√3)..