Question

if tan( a÷2)=1÷√2,find sin A

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Answer 1

Answer:

tana/2=1/√2

tan²A/2=1/2

sec²A/2 -1=1/2

sec²A/2=3/2

cos²A/2=2/3

cosA/2=√2/√3

sin²A/2 =1-cos²A/2=1-2/3=1/3

sinA/2=1/√3

sinA=2sinA/2.cosA/2

sinA=2×√2/√3 ×1/√3=2√2/3

Answer 2

Answer:

2√2/3

Step-by-step explanation:

see picture for explanation