If cos(θ - α) = 3/5 and sin(θ - α) = 12/13, then the value of cos 2α may be: A. 32/65 B. 63/65 C. 48/65 D. 34/65
This question is ill-formed, which means that it is inconsistent with trigonometry. If it was properly formed, then we know that for any angle, `sin^2x+cos^2x=1` , even if the angle is `x=theta-a` .
However, this means that
`sin^2(theta-a)=144/169` and they should add to 1.
`9/25+144/169 = 5121/4225 ne 1`
This question has no solution.