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If Tn = (sinnx + cosnx), then the permissible values of x, (T5--T3 ) ​​/ (T7--T5) is always equal to ...

Shri Krishan Baghel , 9 Years ago
Grade 11
anser 1 Answers
Lab Bhattacharjee

Last Activity: 9 Years ago

\text{For } m\ge3,\\ T_{m+2}-T_m=\sin^{m+2}x+\cos^{m+2}x-(\sin^mx+\cos^mx)\\ =\sin^mx(\sin^2x-1)+\cos^mx(\cos^2x-1)\\ =-\sin^2x\cos^2x(\sin^{m-2}x+\cos^{m-2}x)

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