Question

Show that, sin² Φ (1 + cot²Φ ) = 1​

Answer 1

Step-by-step explanation:

Trigonometric identity:  1 + cot²Ф = cosec²Ф

Thus, sin²Ф(1 + cot²Ф)

        = sin²Ф .  cosec²Ф

As sinФ = 1/cosecФ,

       = sin²Ф . 1/sin²Ф = 1

Hence proved.

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