Question

If sin theata+ cosa thetha=√2, then sintheatha. costhata =??
[Ans is 1/2]
please tell how​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

sin²∅ + cos²∅ =1

=>( sin∅+ cos∅)² - 2 sin∅. cos∅=1

=> (✓2)² - 2 sin∅.cos∅ =1

=> 2 -2 sin∅cos∅ =1

=> 2( 1- sin∅ . cos∅) =1

=> 1-sin∅cos∅= 1/2

=> - sin∅cos∅= -1/2

=> sin∅cos∅ = 1/2