हिंदी

Find the value of : tan (– 690°) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find the value of :

tan (– 690°)

योग

उत्तर

tan (– 690°) = – tan 690°

= – tan (720° – 30°)

= – tan (2 × 360° – 30°)

= – (– tan30°)

= tan 30°

= `1/sqrt(3)`

shaalaa.com
Trigonometric Functions of Allied Angels
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometry - 2 - Exercise 3.2 [पृष्ठ ४२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 3 Trigonometry - 2
Exercise 3.2 | Q 1. (vi) | पृष्ठ ४२

संबंधित प्रश्न

Find the value of:

sin 15°


Find the values of:

cot 225°


Find the value of :

sin 690°


Find the value of :

cos 315°


Find the value of :

cos (600°)


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:

`(cos(pi + x) cos(-x))/(sin(pi - x)cos(pi/2 + x))` = cot2x


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:

cosθ + sin (270° + θ) − sin (270° − θ) + cos (180° + θ) = 0


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:

tan6° tan42° tan66° tan78° = 1


Prove the following:

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


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 = ______.


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


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 cos 480° sin 150° + sin 600° cos 390° is ______.


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 ______.


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 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 sin 150° cos 120° + cos 330° sin 660° is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×