Question

Tg 1,8 * ctg 1,8+ ctg^2 (-(5п/6) - sin^2 п/4-cos^2*п/4=?

Answer 1

Ответ: вроде так

Объяснение:1+ctg(-5п/6)-sin^2п/6= cos^2 п/6

sin^2п/6+cos^2п/6-sin^2п/6= cos^2п/6

cos^2п/6= cos^2п/6

Answer 2

It seems like you've provided a mathematical expression that involves trigonometric functions. I'll do my best to help you simplify it step by step:

1. Let's break down the expression: Tg(1.8) * ctg(1.8) + ctg^2(-(5π/6)) - sin^2(π/4) - cos^2(π/4)

2. First, let's calculate the trigonometric values:

   • tg(1.8 radians) = tan(1.8) ≈ 3.07768
   • ctg(1.8 radians) = 1 / tan(1.8) ≈ 0.32525
   • ctg(-(5π/6)) = 1 / tan(-(5π/6)) ≈ -1.73205 (because tan(-(5π/6)) = -√3)
   • sin(π/4) = cos(π/4) = √2 / 2 ≈ 0.70711

3. Substitute the calculated values back into the expression: 3.07768 * 0.32525 + (-1.73205)^2 - (0.70711)^2 - (0.70711)^2

4. Calculate the squares: 3.07768 * 0.32525 + 2.99999 - 0.49999 - 0.49999

5. Perform the multiplications and subtractions: 1.00000 + 2.99999 - 0.49999 - 0.49999

6. Add and subtract the values: 3.00001 - 0.99998

7. Simplify the result: 2.00003

So, the simplified value of the expression is approximately 2.00003.