Find the values of cos 60° Geometrically.Hence find cosec 60°.
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Answer:
IN a rt. Δ ABC rt. angled B
Here, AC = a
so, AB = a/2 (since Δ ABC is half of equilateralΔ)
now,
BC=√(AC²-AB²) (PYTHAGOROUS THEORAM)
BC=√(a²-(a/2)²
BC = √3a/2
now,
cos∅= AB/AC
= 1a/2/a
= 1/2
AGAIN,
sin²∅ + cos²∅ =1
sin²60 + (1/2)²=1
so,sin60°=√3/2
therefore ,
cosec60°=2/√3
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