English

Find the value of : cos 315° - Mathematics and Statistics

Advertisements
Advertisements

Question

Find the value of :

cos 315°

Sum
Advertisements

Solution

cos 315° = cos (270° + 45°)

= sin 45°

= `1/sqrt(2)`

shaalaa.com
  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:

cot 225°


Find the value of sin 690°.


Find the value of :

sin (495°)


Find the value of :

tan 225°


Find the value of:

sec (–855°) 


Find the value of :

cosec 780°


Find the value of :

cot (– 1110°)


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


Select the correct option from the given alternatives :

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


Select the correct option from the given alternatives :

Let 0 < A, B < `pi/2` satisfying the equation 3 sin2A + 2 sin2B = 1 and 3 sin 2A − 2 sin 2B = 0 then A + 2B 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°


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


If θ = `(17π)/3` then, tan θ – cot θ = ______.


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


The value of `sin((25π)/3)` 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 ______.


Find the value of `cos ((29 π)/3)`.


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 ______.


The value of `cos^2  π/16 + cos^2  (3π)/16 + cos^2  (5π)/16 + cos^2  (7π)/16` 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 + sin B + sin C = 3, then cos A + cos B + cos C 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 the expression sin6 θ + cos6 θ + 3 sin2 θ . cos2 θ is ______.


The value of tan 315° cot(– 405°) + cot 495° tan (– 585°).


The value of sin 150° cos 120° + cos 330° sin 660° is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×