Question

Solve 2sin²Q-17sinQ+8=0​

Answer 1

Answer:30 degrees

Step-by-step explanation:

Let sinQ be x.

=> $2x^{2} - 17x + 8 = 0$

=> $2x^{2} - x - 16x + 8 = 0$

=> $x(2x - 1) - 8(2x - 1) = 0$

=> $(x - 8)(2x - 1) = 0$

=> x = 8 or 1/2

Now, we know that sinQ lies in the range [-1,1], thus x = 8 will be rejected.

Hence, x = sinQ = 1/2

=> Q = 30 degrees

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