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Grade 11Trigonometry

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

Profile image of Shri Krishan Baghel
10 Years agoGrade 11
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1 Answer

Profile image of Lab Bhattacharjee
10 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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