+91-87964 74404
FlagBACK
Question icon
Grade 12th passTrigonometry

if sin(x)=nsin(x+2a) then find the value oftan(x+a)

Profile image of Sridhar Havish Jallepalli
10 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Himanshu
10 Years ago
  • sin(x+2a) / sin(x) = 1/n
  • [sin(x+2a) + sin(x)] / [sin(x+2a) – sin(x)] = (1+n) / (1-n)
(:.Using componendo and dividendo)
  • 2.sin(x+a).cos(a) / 2.sin(a).cos(x+a) = (1+n) / (1-n)
  • tan(x+a) / tan(a) = (1+n) / (1-n)
  • tan(x+a) = (1+n) × tan(a)/ (1-n)
The above is the required answer.

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 3 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥 
trigonometry
1 Answer Available

Last Activity: 4 Years ago