SOLUTION: If sin(theta)= (sqrt2)/5, and pi/2 < theta < pi, then find the exact value of tan(2theta) using identities (NO inverse trig, or SOHCAHTOA)

Question 751293: If sin(theta)= (sqrt2)/5, and pi/2 < theta < pi, then find the exact value of tan(2theta) using identities (NO inverse trig, or SOHCAHTOA)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If sin(theta)= (sqrt2)/5, and pi/2 < theta < pi, then find the exact value of tan(2theta) using identities
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Identity:
..

Identity:

..
Check with calculator:
sin(x)=√2/5
x≈16.43�
2x≈32.86�
tan(2x)=tan(32.86�)≈0.6459
exact value=≈0.6459
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