Question
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
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
Answers
Reiny
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
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