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marishachu [46]
3 years ago
11

If dy/dx = tan(x), then y=

Mathematics
2 answers:
Vikentia [17]3 years ago
6 0
Dy/dx= tanx, can be answered directly using the derivatives of trigonometric functions but this is how the answer is derived
         =(sinx/cosx) basic trigonometric function
         = [cosx cox+sinxsinx]/cos^2x
         =[cos^2x+sin^2x]/cos^2x
cos^2+sin^2x = 1 ; fundamental trigonometric identities
         = 1/cos^2x; reciprocal relations
          = sec^2x+C
The answer is letter B.sec^2x+C
harkovskaia [24]3 years ago
3 0
The answer to this question is:

<span>B) (sec x)^2 + C</span>
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