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Elenna [48]
2 years ago
5

If cotθ = 2, then the value of the expression cot2 θ+ cosec2θ is

Mathematics
1 answer:
nignag [31]2 years ago
4 0

Answer:2

Step-by-step explanation: cot2θ+cosec2θ

=\frac{cot^{2}\theta }{2cot\theta} +\frac{1}{sin^{2}\theta }

=\frac{2^{2}-1 }{2*2} \\\frac{1}{2cot\theta}/1+cot²θ

=\frac{4-1}{4} +\frac{1+2^{2} }{2*2}

=\frac{3}{4} +\frac{5}{4}

=\frac{8}{4}

=2

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    = - √57/3 + 2/3

     = - (√57 + 2) / 3

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