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Math - Trigonometry

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Verify the following:

1. cos x/(1-sinx)= sec x + tan x

2. (tanx+1)^2=sec^2x + 2tan x

3. csc x = )cot x + tan x)/sec x

4. sin2x - cot x = -cotxcos2x

  • Math - Trigonometry - ,

    Hint:
    change all trig ratios to sines and cosines.

    I will do one for you.

    3. csc x = (cot x + tan x)/sec x

    RS = (cosx/sinx + sinx/cosx)/(1/cosx)
    = (cos^2 x + sin^2 x)/(sinxcosx) * cosx
    = (1/(sinxcosx)(cosx)
    = 1/sinx
    = csc x
    = LS

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