SOLUTION: Use the sum and difference identities to find the exact values of sine, cosine and tangent of the angle 165degrees=135degrees+30degrees

Question 773116: Use the sum and difference identities to find the exact values of sine, cosine and tangent of the angle
165degrees=135degrees+30degrees
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use the sum and difference identities to find the exact values of sine, cosine and tangent of the angle 165degrees=135degrees+30degrees
sin(165�)=sin(135�+30�)=sin135�*cos30�+cos135�*sin30�=√2/2*√3/2-√2/2*1/2
=√6/4-√2/4=(√6-√2)/4
..
cos(165�)=cos(135�+30�)=cos135�*cos30�-sin135�*sin30�=-√2/2*√3/2-√2/2*1/2
=-√6/4-√2/4=(-√6-√2)/4=-(√6+√2)/4
..
tan(165�)=tan(135�+30�)=(tan135�+tan30�)/(1-tan135�*tan30�)=(-1+√3/3)/(1-(-1*√3/3)
=(-1+√3/3)/(1+√3/3)=(-3+√3)/(3+√3)
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