Question

1/ sin 42°- cos 42°ctg42°=

Answer 1

Ответ: sin 42°

Объяснение:

Answer 2

Let's break down the given expression step by step:

1. First, let's rewrite the expression using trigonometric identities:

   ctg(42°) = 1 / tan(42°)

2. Now, substitute the values of sin(42°) and cos(42°):

   sin(42°) ≈ 0.6691306 cos(42°) ≈ 0.7431448

3. Substitute the value of ctg(42°):

   ctg(42°) ≈ 1 / tan(42°)

4. Calculate tan(42°) and its reciprocal:

   tan(42°) ≈ 0.900404 ctg(42°) ≈ 1 / 0.900404 ≈ 1.110612

5. Now plug in the values into the original expression:

   1/ sin(42°) - cos(42°) * ctg(42°) ≈ 1 / 0.6691306 - 0.7431448 * 1.110612

6. Calculate the division and multiplication:

   1 / 0.6691306 ≈ 1.494560 0.7431448 * 1.110612 ≈ 0.825414

7. Subtract the second value from the first:

   1.494560 - 0.825414 ≈ 0.669145

So, the simplified value of the expression 1/ sin 42° - cos 42° * ctg 42° is approximately 0.669145.