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4. IfcosB + sĂn8-V2 cos θ, then show that(cose-sine)-V2 sine.(C |
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Answer» Let θ= x cos x + sin x =√2 cos x squaring on both side, we get...... cos2x + sin2x + 2cosxsinx = 2cos2x 2sinxcosx = 2cos2x - cos2x - sin2x 2sinxcosx = cos2x - sin2x 2sinxcosx = (cosx+sinx) (cosx - sinx) 2sinxcosx = (root2 cosx) (cosx - sinx) 2sinxcosx/root2 cosx = cosx - sinx √2sinx = cosx - sinx at the 8th line from where root 2x came |
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