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Tan α=2.4, Find: sin α and cot α

User Ardb
by
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1 Answer

7 votes

Answer:

cot α = 1/tan α = 1/2.4 = 0.42

Explanation:

cot α=0.42

sin α = 0.92

we know that cot α = 1/tan α

thus,

cot α = 1/tan α = 1/2.4 = 0.42

we know that

sin(x)=tan(x)1+tan2(x)√


\ sin(\alpha )=tan(\alpha )/√( 1+tan^2(\alpha )) \\sin(\alpha )= 2.4/√(1+2.4^2) = 2.4/√(1+5.76)\\sin(\alpha )= 2.4/√(6.76) = 2.4/2.6 = 12/13 = 0.92

sin α = 0.92

User Tiffannie
by
6.3k points