Make a conjecture, predicting what might be an identity. Then verify your conjecture algebraically. Choose the correct answer below. O A. cos(x) + sin(x) sec(x) cos(x) + sec(x) sin(x) %3D sec(x) cot(x) + sec(x) (1) cot(x) cos(x) + tan(x) _ cos(x)+ tan(x) _ cos(x) cot(x) cot(x) + 1 = sin(x) %3D cot(x) cot(x) + cot(x) cot(x) O B. cos(x) + sin(x) cot(x) cos(x) + cot(x) sin(x) %3D cot(x) + 1 cot(x) cos(x) + cos(x) cot(x) cot(x) + cot(x) (1) cos(x)(cot(x)+ 1) %3D cos(x) = sin(x) %3D cot(x) cot(x)+ cot(x) cot(x)(cot(x) + 1) cot(x) OC. cos(x) + sin(x) sec(x) + csc(x) cot(x) +1 tan(x) sec(x) + tan(x) csc(x)_ cot(x) cos(x)+ sec(x) _ sin(x) tan(x) + 1 = sin (x) csc(x) %3D tan(x) tan(x) + tan(x) cot(x) cot(x) + tan(x) O D. cos(x) + sin(x) cos(x)(1 + tan(x)) cos(x) cot(x) +1 = cot(x) %3D %3D cot(x)(1 + csc(x)) sin(x)

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A:

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A: