3(sinx-cosx)^4 + 4(sin^6x-cos^6x ) + 6(sinx + cosx )^2 = ????????
3(sinx-cosx)^4 + 4(sin^6x-cos^6x ) + 6(sinx + cosx )^2 = ????????
hansa iit , 14 Years ago
Grade 12
Trigonometry> trigg...
1 Answers
saket shrivastava
open 1st bracket make it into sin2x terms
2nd bracket make a2-b2 open over cube then put expression for a3+b3 and a3-b3 to form cos2x and sin22x terms
3rd bracket again make sin2x
finally we get sin22x and cos2x terms
convert sin to cos to get cubic in cos2x
solve to get 13-8cos6x ans.......................
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