Question

Show that ✓2+✓2+✓2+✓2 cos 40 = 2 cos 0/2
​

Answer 1

Answer::

Here, we will use,

cos2θ=2cos2θ-1⇒1+cos2θ=2cos2θ

Now,

L.H.S.=

√

2+

√

2+

√

2+2cos8θ

=

√

2+

√

2+

√

2(1+cos8θ)

=

√

2+

√

2+

√

2(2cos24θ)

=

√

2+

√

2+2cos4θ

=

√

2+

√

2(1+cos4θ)

=

√

2+

√

2(2cos22θ)

=

√

2+2cos2θ

=

√

2(1+cos2θ)

=

√

2(2cos2θ)

=2cosθ=R.H.S.

Step-by-step explanation:

Answer 2

Answer:

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