Question

(b)
If cot = √3, find the value of Cosec²theta + cot²theta
Cosec²theta -sec²theta​

Answer 1

${cosec}^{2} \alpha + {cot}^{2} \alpha \\ = (1 + {cot}^{2} \alpha) + {cot}^{2} \alpha \\ = (1 + {( \sqrt{3)} }^{2} + {( \sqrt{3)} }^{2} \\ = (1 + 3) + 3 \\ = 4 + 3 \\ = 7$