The minimum value of P=2√5-4sinx +√5-4cosx is
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The minimum value of P=2√5-4sinx +√5-4cosx is
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Step-by-step explanation:
Let y=4sinx+4cosx
Also for a given value of x sine and cosine hold minimim value at x=54π third quadrant.
i.e.
sinx=sin54π=−12–√
cosx=cos54π=−12–√
Now,
yminimum=4sinx+4cosx
=4−12–√+4−12–√
=2∗4−12–√
=2412–√
=240.7071067811865475244
=22.6651441426902251886
⟹yminimum=0.75042845449296354736