English

Find the value of : cosec 780° - Mathematics and Statistics

Advertisements
Advertisements

Question

Find the value of :

cosec 780°

Sum

Solution

cosec 780° = cosec (720° + 60°)

= cosec (2 x 360° + 60°)

= cosec 60°

= `2/sqrt(3)`

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

APPEARS IN

RELATED QUESTIONS

Find the value of:

sin 15°


Find the values of:

cos 75°


Find the values of:

tan 105°


Find the value of :

sin (495°)


Find the value of :

tan 225°


Find the value of :

tan (– 690°)


Find the value of :

sec 240°


Find the value of :

sec (– 855°) 


Find the value of :

cot (– 1110°)


Prove the following:

`("cosec"(90^circ - x)sin(180^circ - x)cot(360^circ - x))/(sec(180^circ + x)tan(90^circ + x)sin(-x))` = 1


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


Prove the following:

tan 20° tan 80° cot 50° = `sqrt(3)`


Prove the following:

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


Prove the following:

sin 20° sin 40° sin 80° = `sqrt(3)/8`


Prove the following:

sin 18° = `(sqrt(5) - 1)/4`


Prove the following:

cos 36° = `(sqrt(5) + 1)/4`


Prove the following:

sin 36° = `(sqrt(10 - 2sqrt(5)))/4`


If a = sin 175°+ cos 175°, then ______.


The value of sin(– 1125°) is ______.


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


The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3  "cosec"(π/6)` is ______.


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


In a ΔABC, if ∠A = `π/2`, then cos2 B + cos2 C is equal to ______.


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


If sin A + sin B + sin C = 3, then cos A + cos B + cos C is equal to ______.


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


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×