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

Find the values of: tan 105° - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find the values of:

tan 105°

बेरीज

उत्तर

tan 105° = tan (60° + 45°)

= `(tan60^circ + tan45^circ)/(1 - tan60^circ tan45^circ)`

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

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

shaalaa.com
Trigonometric Functions of Allied Angels
  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:

cot 225°


Find the value of :

sin 690°


Find the value of :

sin (495°)


Find the value of :

cos 315°


Find the value of :

tan 225°


Find the value of :

sec 240°


Find the value of :

sec (– 855°) 


Find the value of :

cosec 780°


Prove the following:

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


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:

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:

tan 20° tan 80° cot 50° = `sqrt(3)`


Prove the following:

cos 36° = `(sqrt(5) + 1)/4`


Prove the following:

`tan  pi/8 = sqrt(2) - 1`


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 ______.


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 ______.


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


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


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 sin 930° is ______.


The value of sin 135° cosec 225° tan 150° cot 315° is ______.


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


sin (270° – θ) sin (90° – θ) – cos ( 270° – θ) cos (90° + θ) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×