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Grade: 12th pass
        
cos a – sin a + 1/cos a + sin a – 1= cosec a+ cot a
9 months ago

Answers : (1)

Diwankar singh
17 Points
							cos a -sin a+1/cos a + sin a -1Dividing by sin a in the numerator and denominatorSo,    cos a/sina- sin a/sin a+1/sin a          _____________________________          cos a/ sin a+sin a/ sin a-1/sin a              So,          cot a - 1 +cosec a                        _________________                       cot a + 1- cosec a               Then,       cosec a + cot a - 1                        __________________                         1- cosec a + cot a   Then,            cosec a + cot a -(cosec^2 a - cot^2)         ___________________________________                  1-cosec a + cot a  Then,                                                          cosec a+cota- {(cosec a+cot a)(cosec a-cot a)}___________________________________________                     1- cosec a + cot a   Taking common Then,(cosec a + cot a){ 1 - ( cosec a - cot a)}______________________________________                 1- cosec a + cot aThen, (cosec a + cot a) ( 1- cosec a + cot a)_____________________________________              1 - cosec a + cot acancelling ( 1- cosec a + cot a) from the numerator and denominator   Therefore,             LHS=cosec a + cot a=RHS
						
9 months ago
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