tan(5700) का मान होगाः 1) √3 2) -1/√3 3) 1/√3 4) √3
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Answered by
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.
Answered by
24
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)..
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