English

Find the value of : cot (– 1110°)

Advertisements
Advertisements

Question

Find the value of :

cot (– 1110°)

Sum
Advertisements

Solution

cot (– 1110°) = – cot 1110°

= – cot (1080° + 30°)

= – cot (3 x 360° + 30°) 

= – cot 30°

= `-sqrt(3)`

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Trigonometry - 2 - Exercise 3.2 [Page 42]

RELATED QUESTIONS

Find the value of:

sin 15°


Find the value of :

tan 225°


Find the value of :

tan (– 690°)


Find the value of:

sec (–855°) 


Prove the following:

`(cos(pi + x) cos(-x))/(sin(pi - x)cos(pi/2 + x))` = cot2x


Prove the following:

`cos((3pi)/2 + x) cos(2pi + x)[cot((3pi)/2 - x) + cot(2pi + x)]` = 1


Prove the following:

sec 840° . cot (– 945°) + sin 600° tan (– 690°) = `3/2`


Prove the following:

`(sin^3(pi + x)sec^2(pi - x)tan(2pi - x))/(cos^2(pi/2 + x)sin(pi - x)"cosec"^2 - x)` = tan3x


Prove the following:

cosθ + sin (270° + θ) − sin (270° − θ) + cos (180° + θ) = 0


Select the correct option from the given alternatives :

If sin θ = n sin (θ + 2α), then tan (θ + α) is equal to


Prove the following:

cosec 48° + cosec 96° + cosec 192° + cosec 384° = 0


Prove the following:

sin 18° = `(sqrt(5) - 1)/4`


Prove the following:

cos 36° = `(sqrt(5) + 1)/4`


Prove the following:

sin47° + sin61° − sin11° − sin25° = cos7°


`(1 - 2[cos 60^circ - cos 80^circ])/(2 sin 10^circ)` = ______.


The value of sin 495° is ______.


The value of sin(– 1125°) is ______.


The value of `sin((25π)/3)` is ______.


The value of `cos((41π)/4)` is ______.


If `cosA/3 = cosB/4 = 1/5, - π/2 < A < 0` and `- π/2 < B < 0`, then the value of 2 sin A + 4 sin B is ______.


The value of `(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ)` is ______.


cos 1° + cos 2° + cos 3° + ... + cos 180° is equal to ______.


If ΔABC is a right angled at C, then tan A + tan B is equal to ______.


If `sin A - sqrt(6) cos A = sqrt(7) cos A`, then `cos A + sqrt(6) sin A` is equal to ______.


In a ΔPQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to ______.


The value of cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ is ______.


The value of the expression sin6 θ + cos6 θ + 3 sin2 θ . cos2 θ is ______.


The value of cos(– 870°) is ______.


The value of `2 sin^2  π/6 + "cosec"^2  (7π)/6 cos^2  π/3` is ______.


cos2 5° + cos2 10° + cos2 15° + .... + cos2 85° + cos2 90° is equal to ______.


cos 1°. cos 2°. cos 3° ...... cos 179° = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×