Find the general solution of #sec4theta - sec2theta =2#?

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Answer 1 · 2017-12-06T01:24:34

#sec4theta-sec2theta=2#

#=>1/(cos4theta)-1/(cos2theta)=2#
#=>cos2theta-cos4theta=2cos4thetacos2theta#
#=>cos2theta-cos4theta=cos6theta+cos2theta#

#=>cos6theta+cos 4theta=0#

#=>2cos5thetacostheta=0#

When #cos5theta=0#

#=>5theta=(2n+1)pi/2" where "ninZZ#

#=>theta=(2n+1)pi/10" where "ninZZ#

When #costheta=0#

#=>theta=(2k+1)pi/2" where "kinZZ#