Q.

The value of cosec⁡π18−4sin⁡7π18 is

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answer is 2.

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Detailed Solution

cosec10∘−4sin⁡70∘=1−4sin⁡70∘ sin⁡10∘sin⁡10∘=1−2cos⁡60∘−cos⁡80∘sin⁡10∘=1−212−sin⁡10∘sin⁡10∘=1−1+2sin⁡10∘sin⁡10∘=2
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