हिंदी

Find the values of: cos 75°

Advertisements
Advertisements

प्रश्न

Find the values of:

cos 75°

योग
Advertisements

उत्तर

cos 75° = cos(45° + 30°)

= cos 45° cos 30° – sin 45° sin 30°

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

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

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

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometry - 2 - Exercise 3.1 [पृष्ठ ३९]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
अध्याय 3 Trigonometry - 2
Exercise 3.1 | Q 1. (ii) | पृष्ठ ३९

संबंधित प्रश्न

Find the value of:

sin 15°


Find the values of:

tan 105°


Find the values of:

cot 225°


Find the value of sin 690°.


Find the value of :

cos (600°)


Find the value of :

sec 240°


Find the value of:

sec (–855°) 


Find the value of :

cosec 780°


Find the value of :

cot (– 1110°)


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:

`("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 :

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


Prove the following:

tan 20° tan 80° cot 50° = `sqrt(3)`


Prove the following:

sin 18° = `(sqrt(5) - 1)/4`


Prove the following:

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


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(– 1125°) is ______.


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


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


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


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 cos(– 870°) 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 `2 sin^2  π/6 + "cosec"^2  (7π)/6 cos^2  π/3` is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×