Question

cosec square72 _ tan square18=1​

Answer 1

Answer:

Cosec²72 - tan²18

=Cosec²72 - tan²( 90 - 72)

=Cosec²72 - Cot²72

=1

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Answer 2

Answer:

Hence proved, $cosec^{2}72-tan^{2}18=1$.

Step-by-step explanation:

Solve the expression as follows:

$cosec^{2}72-tan^{2}18=sec^{2}(90-72)-tan^{2}18$

                            $=sec^{2}18-tan^{2}18\\=1$

Since sec²θ - tan²θ = 1.

Hence proved, $cosec^{2}72-tan^{2}18=1$.