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3 years ago

Verify the identity. cot. (x - (pi/2)) = -tan xPlease, help me!!!

Mathematics

1 answer:

Leya [2.2K]3 years ago

5 0

Answer:

cot . (x- π/2)= - tanx

Step-by-step explanation:

cot . (x- π/2)= - tanx

cot .x - cot π/2= - tanx

cot π/2= 1/tanπ/2

But tan π/2= ∞

cot π/2 = 1/∞= 0

cotx - 0= - tanx

cot x = - tanx

cosx/sinx= - sinx/cosx Putting values of cot and tan

cosx/ sinx ( sinx/cos x) = -sinx/cos x (sinx/cos x )

Multiplying both sides with sinx/cos x

1= - sin²x/cos²x

cos²x= - sin²x as cosx = -sinx

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