Advertisements
Advertisements
प्रश्न
Show that none of the following is an identity:
`tan^2 theta + sin theta = cos^2 theta`
Advertisements
उत्तर
`tan^2 theta + sin theta = cos^2 theta`
LHS = `tan^2 theta + sin theta `
=`(sin^2 theta)/(cos^2 theta) + sin theta`
=` (1- cos^2 theta )/( cos^2 theta) + sin theta`
=` sec^2 theta -1 + sin theta `
Since LHS ≠ RHS, this is not an identity.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
