English

Find the value of : sin (495°) - Mathematics and Statistics

Advertisements
Advertisements

Question

Find the value of :

sin (495°)

Sum

Solution

sin (495°) = sin (360° + 135°)

= sin 135°

= sin (90° + 45°)

= cos 45°

= `1/sqrt(2)`.

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 value of :

tan (– 690°)


Find the value of :

sec (– 855°) 


Find the value of :

cosec 780°


Prove the following:

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


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


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:

tan 20° tan 80° cot 50° = `sqrt(3)`


Prove the following:

sin 20° sin 40° sin 80° = `sqrt(3)/8`


Prove the following:

sin 36° = `(sqrt(10 - 2sqrt(5)))/4`


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


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


The value of `cos  π/8 + cos  (3π)/8 + cos  (5π)/8 + cos  (7π)/8` is ______.


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


The value of `cos^2  π/16 + cos^2  (3π)/16 + cos^2  (5π)/16 + cos^2  (7π)/16` is ______.


sin2 17.5° + sin2 72.5° is equal to ______.


If cos θ = `- sqrt(3)/2` and sin α = `-3/5`, where θ does not and α lies in the third quadrant, then `(2 tan α + sqrt(3) tan θ)/(cot^2 θ + cos alpha)` is equal to ______.


If tan θ = `1/sqrt(7)`, then `(("cosec"^2θ - sec^2θ))/(("cosec"^2θ + sec^2θ))` is equal to ______.


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


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


If sin A + sin B + sin C = 3, then cos A + cos B + cos C 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 sin 930° is ______.


The value of `(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))` is ______.


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


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×