Question

Tan theta + cot theta = sec theta cosec theta

Answer 1

Answer:

Step-by-step explanation:

tanФ +cotФ = secФcosecФ

$\frac{sintheta}{cos theta } + \frac{costheta}{sintheta}\\\frac{sin^2theta + cos^2thaeta}{sinthetacostheta}$

Now we know than sin²Ф + cos²Ф = 1

therefore,  $\frac{1}{sintheta cos theta}$

now 1/sinФ = cosecФ and 1/cosФ = secФ

therefore it equals, secФcosecФ

Hence proved

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