What is the simplified value of \sqrt{\frac{ \cosec A -1}{ \cosec A -1}} ?

Correct Answer is : sec A - tan A

SSC CGL Model Paper 16

Question : 70 of 100

Marks: +1, -0

What is the simplified value of

√{{ \cosec A -1}/{ \cosec A -1}}

Solution:

√{{ \cosec A -1}/{ \cosec A -1}}

√{{ \cosec A -1}/{ \cosec A -1}×{ \cosec A -1}/{ \cosec A -1}}

√{{( \cosec A -1)^2}/{ \cosec ^2A -1}}

√{{( \cosec A -1)^2}/{1/{\sin^2A}-1}}

√{{(\cosec A - 1)^2× \sin^2 A}/{1 - \sin^2 A}}

√{{(\cosec A - 1)^2× \sin^2 A}/{\cos^2 A}}

(\cosec A - 1 )×{\sin A}/{\cos A}

= sec A - tan A

Go to Question:

Prev Question

Next Question