Find the Value Of cot π/8
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Step-by-step explanation:
cot π/8 = cot 180/8
which is equal to cot45/2
cotA/2 = (√1+cosA/1-cosA)
so cot 45/2 = √1+cos45/1-cos45
which is equal to√(1+√2/2)/(1-√2/2)
which is equal to √((2+√2)/2)/((2-√2)/2)
which is equal to √2+√2/2-√2
which is equal to √(2+√2)²/4-2
which is equal to 2+√2/√2
which is equal to (2√2+2)/2
which is equal to 2((√2+1))/2
which is equal to √2+1
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