Advertisements
Advertisements
प्रश्न
Select the correct option from the given alternatives :
If sin θ = n sin (θ + 2α), then tan (θ + α) is equal to
विकल्प
`(1 + n)/(2 - n) tan alpha`
`(1 - n)/(1 + n) tan alpha`
tan α
`(1 + n)/(1 - n) tan alpha`
Advertisements
उत्तर
`(1 + n)/(1 - n) tan alpha`
Explanation:
`(sin(theta + 2alpha))/sintheta = 1/n`
∴ `(sin(theta + 2alpha) + sintheta)/(sin(theta + 2alpha) - sintheta) = (1 + n)/(1 - n)`
∴ `(2sin(theta + alpha)cos alpha)/(2cos(theta + alpha)sin alpha) =(1 + n)/(1 - n)`
∴ `tan (theta + alpha) = (1 + n)/(1 - n) tan alpha`
APPEARS IN
संबंधित प्रश्न
Find the values of:
cos 75°
Find the values of:
tan 105°
Find the value of sin 690°.
Find the value of :
tan 225°
Find the value of :
tan (– 690°)
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`
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:
sin 18° = `(sqrt(5) - 1)/4`
Prove the following:
cos 36° = `(sqrt(5) + 1)/4`
Prove the following:
`tan pi/8 = sqrt(2) - 1`
If f(x) = `(2"x" + 3)/(3"x" - 2)`, `"x" ≠ 2/3`, then the function fof is ____________.
`(1 - 2[cos 60^circ - cos 80^circ])/(2 sin 10^circ)` = ______.
The value of sin 495° is ______.
The value of sin(– 1125°) is ______.
The value of `sin((25π)/3)` is ______.
The value of `cos((41π)/4)` is ______.
The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3 "cosec"(π/6)` is ______.
The value of `(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ)` is ______.
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 ______.
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 + 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 sin 135° cosec 225° tan 150° cot 315° 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 ______.
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° = ______.
sin (270° – θ) sin (90° – θ) – cos ( 270° – θ) cos (90° + θ) is ______.
