Sin2x(cot x + tan x) =2

Question

Prove this identity. Help me please

Kenneth S. · Accepted Answer

Use sin 2x = 2 sinx cosx:
 
2sinx cosx (cosx/sinx + sinx/cosx) ⇐ replaced cotx & sinx...
 
Distribute to get 2 cos2x + 2 sin2x = 2 after factoring out the two, because of Pythagorean Identity.

Sin2x(cot x + tan x) =2

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Sin2x(cot x + tan x) =2

1 Expert Answer

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

Verify the identity cos^3xsin^2x = (sin^2x-sin^4x)cosx

Verify the identity tanx+coty/tanxcoty = tany+cotx

2sec^x-2sec^2x sin^2x

prove the following trigonometric identity

(cos^2x+1+sinx)/(cos^2x+3)=(1+sinx)/(2+sinx)

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