Question

If alpha and beta are complementary angles and 18 sin2 alpha -12 sin alpha =-2 then sin beta is ​ it is urgent

Answer 1

Answer:

Hey !

Your answer is in the image. Go through it. (^‿^)

Answer 2

Answer:

2√2

Step-by-step explanation:

Here, we are given A and B are complementary angles,

and

18 sin²A - 12 sin A = -2

or 2(9 sin²A - 6 sin A) =2(-1)

or 9 sin²A - 6 sin A = -1

9 sin²A - 6 sin A + 1 =0

By middle term spiliting,

9 sin²A - 3 sin A - 3 sin A +1 = 0

3 sin A( 3 sin A - 1 ) -1(3 sin A - 1) = 0

Therefore, (3 sin A - 1)(3 sin A - 1)= 0

or 3 sin A -1 =0

or 3 sin A =1

sin A =1/3

P/H =1/3

By pythagoras theoram, P= 1 , H=3 , B= 2√2

cos A = B/H

         = 2√2 / 3

Now , since A and B are complementary angles,

Therefore cos A = sin B

sin B = 2√2 / 3

Hope it helps...!✌