Olivia8568 Olivia8568
  • 07-09-2020
  • Mathematics
contestada

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

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pradhankasish24 pradhankasish24
  • 07-09-2020

Answer:2

Step-by-step explanation: cot2θ+cosec2θ

=[tex]\frac{cot^{2}\theta }{2cot\theta} +\frac{1}{sin^{2}\theta }[/tex]

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

=[tex]\frac{4-1}{4} +\frac{1+2^{2} }{2*2}[/tex]

=[tex]\frac{3}{4} +\frac{5}{4}[/tex]

=[tex]\frac{8}{4}[/tex]

=[tex]2[/tex]

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