Question

Sin theta + cos theta is equal to 1 then sin theta * cos theta =? ​

Answer 1

Answer:

Step-by-step explanation:

Given : sin theta +cos theta =1

To find : (sin theta) X (cos theta )

Sin theta + cos theta =1

[squaring on both the sides ]

(Sin theta + cos theta) ²= 1²

Sin²theta + cos ²theta + sin theta X cos theta =1

(Sin²theta +cos²theta ) + sin theta X cos theta =1

1+ sin theta X cos theta =1

Sin theta X cos theta =1-1

.: Sin theta X cos theta =0

Answer 2

Answer: zero

Step-by-step explanation:

Given,

sin theta + cos theta = 1

or, (sin theta + cos theta)^2 = 1^2 [ Squaring on both sides ]

or, sin^2 theta + cos^2theta + 2*sin theta * cos theta = 1

or, 1 + 2*sin theta *cos theta = 1 [ sin^2 theta + cos^2 theta = 1 ]

or, 2*sin theta * cos theta = 1 - 1

or,2*sintheta * cos theta = 0

or, sin theta * cos theta = 0