Question

Найти ctg,если а)sinA= 0.8

Answer 1

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Answer 2

To find the value of cotangent (ctg) when sinA = 0.8, we can use the trigonometric identity relating sine and cotangent:

cot(A) = 1 / tan(A)

Since we know that:

sin(A) = 0.8

We can use the Pythagorean identity to find cos(A):

cos^2(A) + sin^2(A) = 1

cos^2(A) + 0.8^2 = 1

cos^2(A) + 0.64 = 1

cos^2(A) = 1 - 0.64

cos^2(A) = 0.36

cos(A) = √(0.36) = 0.6 (Note: We took the positive square root because cosine is positive in the first and fourth quadrants.)

Now, we can find the tangent of A:

tan(A) = sin(A) / cos(A) = 0.8 / 0.6 ≈ 1.3333

Finally, we can find the cotangent of A:

cot(A) = 1 / tan(A) = 1 / 1.3333 ≈ 0.75

So, when sin(A) = 0.8, the cotangent (ctg) of A is approximately 0.75.