sin 65+cos 65=√2 cos 20
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Answer:
Hi
Explanation:
To prove:sin65+cos65=
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
2×
cos20 [∴sin45=
]
cos20
=R.H.S
∴Hence proved.
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