find minimum value of 2 <mrow class="MJX-TeXAtom-ORD"> sin

kunyatia33

kunyatia33

Answered question

2022-05-31

find minimum value of 2 sin 2 ( θ ) + 2 cos 2 ( θ )

Answer & Explanation

Liberty Gates

Liberty Gates

Beginner2022-06-01Added 11 answers

HINT:
For real a>0,
( a 2 ) sin 2 θ + ( a 2 ) cos 2 θ = a ( a cos 2 θ + a cos 2 θ )
Now a cos 2 θ + a cos 2 θ 2 a cos 2 θ a cos 2 θ = 1
Kellen Perkins

Kellen Perkins

Beginner2022-06-02Added 3 answers

If a , b 0 then
a + b 2 a b
2 sin 2 θ + 2 cos 2 θ 2 2 sin 2 θ + cos 2 θ = 2 2

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