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2.2k views
in JEE by (3.3k points)
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if 7cosx -24sinx=

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1 Answer

+2 votes
by (735 points)
7cosx-24sinx

=(7^2+(-24)^2)^(1/2)*[cosx*(7/25)-sinx*(24/25)]

=25[cosx*cos(cos^(-1)(7/25))-sinx*sin(sin^(-1)(24/25))]

Put cos^(-1)(7/25)=sin^(-

1)(24/25)=A

We get

7cosx-24sinx=25cos(x-A)

So options(a,b,d) are correct.

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