Question

if sin theta=k then sin(90°- theta) =​

Answer 1

Answer:

sq root 1-k^2

Step-by-step explanation:

sin (90-theta) = cos theta

90- theta comes under 1st quadrant where all are +ve

and 1×90 is odd multiple of 90 so sin turns into cos.

and we know

sin^2 +cos^2=1

k^2 + cos^2 =1

cos^2 = 1- k^2

cos theta = sq root 1- k^2

hence proved..