Question

If sin theta + cos theta = √2, and b= √2(sin theta + cos theta)/ sin theta × cos theta. find 'b'

Answer 1

given sin theta + cos theta is root 2

so putting that value in the question

(sin theta + cos theta ) *( sin theta + cos theta)/sin theta * cos theta

so

sin2theta + cos2 theta /sin theta * cos theta

ie:

1/sin theta* cos theta

= cosec theta * cos theta

therefore the value of b is cosec theta * cos theta

meaning of symbols i have used

*= multiply

sin2 theta = sin square theta

/= division

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