Question

If cosec =root5 find 2+1\sin square

Answer 1

Step-by-step explanation:

• 2+1/sin20-1/cos20
• 2+cosec20-cot20
• 2+1=3

Answer 2

Answer: 3

Step-by-step explanation:

Given: $cosec\theta =\sqrt{5}$

To find: $2+\frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta}$

Solution:

$=2+\frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta}$

$=2+cosec^2\theta -cot^2\theta$                    ∵ $cosec^2\theta =1+cot^2\theta$ ⇒ $cosec^2\theta-cot^2\theta =1$

$=2+1\\=3$