Question

2sin1080°-2cos1500°+ctg930° Фастом плиззз

Answer 1

Вот тебе решение...........

Answer 2

To simplify the given expression, let's first convert the trigonometric functions from degrees to radians. Then we can apply trigonometric identities to simplify further.

1. Converting degrees to radians:
   • 1080° = 1080 * π / 180 = 6π radians
   • 1500° = 1500 * π / 180 = 5π/3 radians
   • 930° = 930 * π / 180 = 31π/6 radians

Now, let's simplify the expression step by step:

2sin(6π) - 2cos(5π/3) + ctg(31π/6)

2. Simplifying trigonometric functions at common angles:

• sin(6π) = sin(2π + 4π) = sin(4π) = 0 (sine function repeats every 2π)
• cos(5π/3) = cos(π + 2π) = cos(π) = -1 (cosine function repeats every 2π)
• cot(31π/6) = cot(5π + 6π) = cot(π) = 0 (cotangent function repeats every π)

Now, the simplified expression is:

0 - 2(-1) + 0

Simplify further:

0 + 2 + 0 = 2

Therefore, the simplified value of the expression is 2.