prove that (sin theta + cosec theta )square + (cos theta +sec theta)square=7+cot square theta + tan square theta
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LHS=
(sin§+cosec§)²+ (cos§+sec)²
sin2§+cosec2§+2sin§•cosec§×cos2§+sec2§+2cos§•sec
cos2§+1+cosec2§+2•1×cos2 theta+ sec2 theta+2•1
3cosec²§+2sec²§
5cosec²§+sec²§
5+1+cot²§+tan²§+1
7+cot2§+tan2§
LHS=RHS. proved
(sin§+cosec§)²+ (cos§+sec)²
sin2§+cosec2§+2sin§•cosec§×cos2§+sec2§+2cos§•sec
cos2§+1+cosec2§+2•1×cos2 theta+ sec2 theta+2•1
3cosec²§+2sec²§
5cosec²§+sec²§
5+1+cot²§+tan²§+1
7+cot2§+tan2§
LHS=RHS. proved
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