Question

prove cosec theta ×under root 1-cos^2theta =1​

Answer 1

the solution is provided in the attached image

Answer 2

The prove has been shown below.

Step-by-step explanation:

It has been given that

$\csc\theta\cdot\sqrt{1-\cos^2\theta}=1$

Left hand side is given by

$\csc\theta\cdot\sqrt{1-\cos^2\theta}$

The relation between sin and cos is sin²Ф + cos²Ф = 1.

Hence, sin²Ф  = 1- cos²Ф

Thus, the expression becomes

$\csc\theta\cdot\sqrt{\sin^2\theta}\\\\=\csc\theta\cdot\sin\theta$

Now, cosec is reciprocal of sin. Hence, we have

$\csc\theta\cdot\frac{1}{\csc\theta}\\\\=1\\\\=RHS$

#Learn More:

If tan theta 1 upon root 3 then find the value of 2 tan theta upon 1 minus tan squared theta​

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