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If sina sinb - cosa cosb + 1 = 0,  then the  value  of  cota tanb  is

  • Option 1)

    -1

  • Option 2)

    0

  • Option 3)

    1

  • Option 4)

    none of these

 

Answers (1)

best_answer

As we learnt

 

Addition Formulae -

 

\sin \left ( A+B \right )= \sin A\cos B+\cos A\sin B

- wherein

A and B are two angles.

 

 

Given sina sinb – cosa cosb + 1 = 0

                        Þ cos(a + b) = 1

                        Þ sin(a + b) = 0

                        Þ  sina cosb + cosa sinb = 0

                        Þ cota tanb = -1.


Option 1)

-1

Option 2)

0

Option 3)

1

Option 4)

none of these

Posted by

Himanshu

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