Geography, asked by KAPIDHVAJ, 11 months ago

sin 65+cos 65=√2 cos 20

Answers

Answered by Anonymous
2

Answer:

Hi

Explanation:

To prove:sin65+cos65=cos20\sqrt{x}

Proof:

L.H.S

sin65+cos65

sin65+cos(90-65)[∴complementary angle]

sin65+sin25

2sin(65+25)/2 cos(65-25) [∴sinA+sinA 2sin(A+B)/2 cos(A-B)/2]

2sin45 cos20

1/\sqrt 2 cos20 [∴sin45=1/\sqrt{ 2]

\sqrt2cos20

=R.H.S

∴Hence proved.

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