If Tn=sinnθ+cosnθ, prove that (i)T3−T5T1=T5−T7T3 (ii)2T6−3T4+1 – InterviewSolution

1.

If Tn=sinnθ+cosnθ, prove that (i)T3−T5T1=T5−T7T3 (ii)2T6−3T4+1=0 (iii)6T10−15T8+10T6−1=0

Answer»

If $T_{n} = s i n^{n} θ + c o s^{n} θ$ , prove that

$(i) \frac{T_{3} - T_{5}}{T_{1}} = \frac{T_{5} - T_{7}}{T_{3}}$

$(i i) 2 T_{6} - 3 T_{4} + 1 = 0$

$(i i i) 6 T_{10} - 15 T_{8} + 10 T_{6} - 1 = 0$

Discussion

No Comment Found

Related InterviewSolutions

The number of ways of choosing 2 cards from a pack of 52 where atleast one face card is choosen
Let P(3,3) be a point on the hyperbola, x2a2−y2b2=1. If the normal to it at P intersects the x−axis at (9,0) and e is its eccentricity, then the ordered pair (a2,e2) is equal to
P speaks truth in 75% cases while Q in 90%.in what % r they likely to contradict each other in stating the same fact .? Do u think B is true Do
If f(x) has the second order derivative at x = c such that f '(c) = 0 and f ''(c) > 0, then c is a point of _______________.
An A.P. consists of 43 terms, if the sum of five middle-most terms is 195, then the sum of the A.P. is
Find the angle between two vectors a and b with magnitudes √3 and 2 respectively, having a.b=√6
If y={x}[x], then 3∫0y dx is equal to,where {.} and [.] are fractional part function and greatest integer function respectively.
The graph of f(x)=−|log(x−3)|+3 will be
1∫0ex⋅x(1+x)2dx is equal to
What is a set and list all formulas of set.