Question

If tan A = √2-1 , show that sin A cos A = √2/4 .

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

TanA= (√2–1)/1. =p/b

By Pythagoras theorem

h^2=p^2+b^2

h^2. =(√2–1)^2+1^2

h=. √(4–2√2)

Then

SinA. CosA.

=√2–1/√(4–2√2). ×. 1/√(4–2√2)

=√2–1/4–2√2

=(√2–1)×(4+2√2)/(4–2√2)×(4+2√2)

=√2/4