Math, asked by Anonymous, 3 months ago

If sinA=cosB then (A+B) = 90°​

Answers

Answered by Anonymous
1

Given :

  • sin A = cos B

To Prove :

  • A + B = 90°

Solution :

We are given,

sin A = cos B

Now, we know that,

 \Large \underline{\boxed{\bf{ cos \theta = sin (90^{\circ} - \theta)  }}}

 \sf : \implies sin A = sin (90^{\circ} - B)

 \sf : \implies A = 90^{\circ} - B

 \sf : \implies A + B = 90^{\circ}

 \Large \underline{\boxed{\bf{A + B = 90^{\circ}}}}

Hence, Proved.

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