brooklyn8045 brooklyn8045

25-05-2021
Mathematics

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simplify cos(2x)/ cos(x)-sin(x)

simplify cos2x cosxsinx class=

Respuesta :

abhi569 abhi569

25-05-2021

Answer:

cosA + sinA

Step-by-step explanation:

Using trig. identities :

cos(A + B) = cosAcosB - sinAsinB

cos2A = cos²A - sin²A

cos2A = (cosA + sinA)(cosA - sinA)

Therefore, your question is :

=> cos2A/(cosA - sinA)

=> (cosA + sinA)(cosA - sinA)/(cosA - sinA)

=> cosA + sinA

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