cos130° = _____cos(-50°)cos50°-cos50°

To solve the equation cos130° = cos(-50°)cos50° - cos50°, we will break it down step by step.

Step 1: Evaluate cos130° Using a calculator or trigonometric table, we find that cos130° is approximately -0.6428.

Step 2: Evaluate cos(-50°) The cosine of a negative angle is the same as the cosine of its positive counterpart. Therefore, cos(-50°) is equal to cos50°.

Step 3: Substitute the values into the equation cos130° = cos50°cos50° - cos50°

Step 4: Simplify the equation -0.6428 = cos50°cos50° - cos50°

And that's the step-by-step solution to the equation cos130° = cos(-50°)cos50° - cos50°.