Trignometry: Evaluate: Cos20 . Cos35 Cos45 cosec 55 cos 70
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Given: The trigonometric term Cos 20 . Cos 35 Cos 45 cosec 55 cos 70
To find: The value of the given term.
Solution:
Cos 20 Cos 35 Cos 45 cosec (90 - 35) cos (90 - 20)
cosec(90 - x) = sec x
cos(90 - x) = sin x
Cos 20 Cos 35 Cos 45 Sec 35 Sin 20
Cos 20 Cos 35 (1/√2) Sec 35 Sin 20
Cos 20 x Sin 20 x 1 x (1/√2)
Cos 20 x Sin 20 / √2
Answer:
So the final value is Cos 20 x Sin 20 / √2.
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