Question

Prove that : tan θ–cot θ /sin θ cos θ = tan²θ–cot² θ.

Answer 1

SOLUTION IS IN THE ATTACHMENT.

Trigonometry is the study of the relationship between the sides and angles of a triangle.

An equation involving trigonometry ratios of an angle is called is called a trigonometric  identity, if it is true for all values of the angles involved. For any acute angle θ, we have the following identities.
i) sin² θ + cos² θ = 1 , ii) 1 + tan² θ = sec² θ , iii) cot² θ +1 = cosec² θ, iv) tan θ = sin θ/cos θ , v)  cot θ = cos θ / sin θ.

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Answer 2

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