Math, asked by sujal7967, 11 months ago

prove that sec squared theta minus 1 into cot square theta is equal to 1​

Answers

Answered by mathsismypassion
18

Step-by-step explanation:

Hope the answer helps you

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Answered by FelisFelis
8

(\sec^2\theta-1)\cot^2\theta=1 Proved.

Step-by-step explanation:

Consider the provided information.

(\sec^2\theta-1)\cot^2\theta=1

Consider the LHS.

=(\sec^2\theta-1)\cot^2\theta

=(\tan^2\theta)\cot^2\theta (∴ sec²θ-tan²θ=1)

=\dfrac{1}{\cot^2\theta}\times\cot^2\theta (∴ \tan\theta=\frac{1}{\cot\theta})

=1

LHS=RHS

Hence, proved

#Learn more

Prove that root 1-costheta/1+costheta = cosectheta-cottheta

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