find cosec 30° and cos 60° geometrically. plz do fast urgent
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Cosec 30 = 2
Cos 60 = / 2
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Answer:
Step-by-step explanation:
Let there be equilateral triangle ABC.
Let AB = BC = AC = 2 a
Let AD be perpendicular on BC . So BD = DC
By pythogaras therom, AD = √3 a
and ∠BAC = 60° and ∠BAD = 30°.
So In Δ ABD,
Let ∠BAD be Ф
So cosec Ф = hypotenuse / height = 2 a/ a
cosec 30° = 2
In Δ ABD ,
Ф = ∠ ABD
COS Ф = base / hypotenuse.
cos 60° = BD / AB
= a / 2 a
cos 60° = 1/2
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