1. Tardigrade
  2. Question
  3. Mathematics
  4. If (3 π/4)< α< π then √ textcosec2 α+2 cot α=

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $\frac{3 \pi}{4}< \alpha< \pi$ then $\sqrt{\text{cosec}^{2} \alpha+2 \cot \alpha}=$

Trigonometric Functions

Solution:

$\sqrt{1+\cot ^{2} \alpha+2 \cot \alpha}=\sqrt{(1+\cot \alpha)^{2}}=|1+\cot \alpha|$
When $\frac{3 \pi}{4}<\alpha<\pi, \cot \alpha<-1$ (by graph)