SOLUTION: 1. Verify the identity. sin(9π‘₯)+sin(3π‘₯)/cos(9π‘₯)+cos(3π‘₯)=tan(6π‘₯) 2. Find the exact value of the following expression given that tanπœƒ =βˆ’2 and 90Β°<πœƒ

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Question 1187012: 1. Verify the identity.
sin(9π‘₯)+sin(3π‘₯)/cos(9π‘₯)+cos(3π‘₯)=tan(6π‘₯)
2. Find the exact value of the following expression given that tanπœƒ =βˆ’2 and
90Β°<πœƒ <180Β°. Show all logic for your choices, including pictures of the quadrant to derive signs and a triangle to derive trigonometric values.

sin2πœƒ


These two problems are so confusing for me. First, I'm not sure where to begin and how to solve it at all. How do I verify the identity and the second, I am really lost on what to do. Please help.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1. Verify the identity.
sin(9π‘₯)+sin(3π‘₯)/cos(9π‘₯)+cos(3π‘₯)=tan(6π‘₯)
------------------
Look up "Half Angle Formulas" on Wikipedia.
2. Find the exact value of the following expression given that tanπœƒ =βˆ’2 and
90Β°<πœƒ <180Β°. Show all logic for your choices, including pictures of the quadrant to derive signs and a triangle to derive trigonometric values.

sin2πœƒ


These two problems are so confusing for me. First, I'm not sure where to begin and how to solve it at all. How do I verify the identity and the second, I am really lost on what to do. Please help.

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