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Question

sin135+cos11213=cos13365

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Solution

sin135+cos11213=cos13365

cos145+cos1(1213)=cos1(3365)

a=cos1(45)b=cos1(1213)

cosa=45cosb=1213

sina=35sinb=513

cos(a+b)=cosasinbsinasinb

=45×121335×513

=4865313

=483(5)65=3365

cos(a+b)=3365

a+b=cos1(3365)

=RHS


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