Question

$«PROVE »$

$\sf cos ^2+ tan^2=1$


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Answer 1

Answer:

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Answer 2

This is how I solved the query, I hope it can be solved in this way as well :

• $\sf cos ^2 \theta + tan^2 \theta = 1$

• $\sf cos ^2 \theta + \dfrac {sin^2 \theta}{cos^2 \theta} = 1$

• $\sf {\dfrac {cos ^4 \theta + sin^2 \theta}{cos^2 \theta}} = 1$

• $\sf {\dfrac{ cos ^2 \theta[ cos^2 \theta + (1 - cos^2 \theta) ]}{cos^2 \theta}} = 1$

• $\sf cos ^2 \theta + 1 - cos^2 \theta = 1$

• 1 = 1

Hence Proved