मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Find the value of: sin 15°

Advertisements
Advertisements

प्रश्न

Find the value of:

sin 15°

बेरीज
Advertisements

उत्तर

sin 15°

= sin (45° – 30°)

= sin 45° cos 30° – cos 45° sin 30°

= `(1/sqrt(2))(sqrt(3)/2) - (1/sqrt(2))(1/2)`

= `(sqrt(3) - 1)/(2sqrt(2)`

shaalaa.com

Notes

Answer given in the textbook is `(sqrt(3) + 1)/(2sqrt(2)`. However, as per our calculation it is `(sqrt(3) - 1)/(2sqrt(2)`.

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - 2 - Exercise 3.1 [पृष्ठ ३९]

APPEARS IN

संबंधित प्रश्‍न

Find the values of:

cos 75°


Find the values of:

tan 105°


Find the value of :

sec 240°


Find the value of :

cosec 780°


Prove the following:

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


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:

cos 36° = `(sqrt(5) + 1)/4`


Prove the following:

sin 36° = `(sqrt(10 - 2sqrt(5)))/4`


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


If f(x) = `(2"x" + 3)/(3"x" - 2)`, `"x" ≠ 2/3`, then the function fof is ____________.


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


The value of `cos  π/8 + cos  (3π)/8 + cos  (5π)/8 + cos  (7π)/8` 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 480° sin 150° + sin 600° cos 390° 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 ______.


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


If x ≠ 0, then `(sin(pi + x)cos(pi/2 + x)tan((3pi)/2 - x)cot(2pi - x))/(sin(2pi - x)cos(2pi + x)cosec(-x)sin((3pi)/2 + x))` =


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×