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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Since cos A = sin(90-A) cos(3x+40)=sin(90°-(3x+40)) =sin(50-3x) From the given equation sin(2x+10)=cos(3x+40) sin(2x+10)=sin(50-3x) On equating the arguments, 2x+10=50-3x 5x=40° x=8°

That's what I had at first but then there is multiple choice answers of 20 and 70, 25 and 65, 26 and 64 or 30 and 60. I'm just really confused of what I have to do.

Hello ! See, sin(90-A)= cos (A) or sin A = cos (90 - A) Putting this equation in the following question we get that , sin ( 2x + 10 ) = sin ( 90 - 3x - 40 ) ⇒ 2x +10 = 50 - 3x ⇒ 5 x = 40 ⇒ x = 40 / 5 ⇒ x = 8° Now substituting the value of x in the question we get , sin ( 2×8+10) = cos ( 3×8 + 40) ⇒ sin ( 26°) = cos ( 64°) I hope this answer is correct ! Please mark this answer as the best ! Thank you!