2
Example 3. Evaluate
8V3 cosec^2 30° sin 60°cos 60° cos^2 45°
sin 45º tan 30° cosec°^3 45°.
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Answer:
cosec^2 30°×sin60°×cos60°×cos^2 45°×sin45°×tan30°×cosec^3 45°
=2^2×(3)^1/2/2×1/2×1/2×1/(2)^1/2×1/(3)^1/2×2(2)^1/2
all will be cancelled
=2
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