Trigonometry
the number k is such that tan{arc tan(2)+arc tan(20k)}=k.
the sum of allpossible values of k is:
the number k is such that tan{arc tan(2)+arc tan(20k)}=k.
the sum of allpossible values of k is:
1 Answer
vignesh prasad
|
tan{arc tan(2)+arc tan(20k)}=k. |
using formula,arctan x + arctan y = arctan ((x+y)/(1-xy))
we get,
(20k+2)/(1-40k)=k
on solving we get ,
40k^2+19k+2=0,
=>sum=-19/40
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
Last Activity: 3 Years ago
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
Last Activity: 4 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
Last Activity: 4 Years ago
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
trigonometry
Last Activity: 4 Years ago