tanx + cotx = 2 csc 2x

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3 Answers

tanx + ctgx = 2cscx

tanx = sinx/cosx,     ctgx = cosx/sinx

sinx/cosx + cosx/sinx = 2csc2x

sinxsinx /sinxcosx + cosxcosx/sinxcosx = 2csc2x

sin^2(x )/sinxcosx + cos^2(x)/sinxcosx = 2csc2x

(( sin^2(x) + cps^2(x))/sinxcosx = 2csc2x

sin^2(x) + cos^2(x) = 1

1/sinxcosx = 2csc2x

2/2sinxcosx = 2csc2x

2sinxcosx = sin(2x)

2/sin(2x) = 2 csc2x

1/sinx = cscx and 1/sin(2x) = csc(2x)

2csc(2x) = 2csc(2x)

 

by Level 8 User (36.8k points)

tanx + cotx = 2 csc 2x

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e= 4senx cosx cos2x
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