Question

If
tan A=✓2-1
show that sin A Cos A=✓2/4
​

Answer 1

Answer:

Step-by-step explanation:

taN∧2=(√2-1)∧2

SEC∧2-1=2+1-2√2

SEC∧2=3-2√2+1

SEC∧2=4-2√2

COS∧2=4+2√2

tan A × cos∧2A =sinA × cosA

(√2-1) × (4+2√2)

after solving,

we get sinA × cosA=√2/4