Question

Sin (180°-30°)cos (360°+60°)=

Answer 1

Воспользуемся формулой сложения аргумента и получим

Answer 2

To calculate the value of the expression sin(180°-30°)cos(360°+60°), let's break it down step by step:

Step 1: Evaluate sin(180°-30°) The value inside the sin function can be simplified as follows: 180° - 30° = 150°

Step 2: Evaluate cos(360°+60°) The value inside the cos function can be simplified as follows: 360° + 60° = 420°

Step 3: Calculate the sine and cosine values We know that sin(150°) = 0.5 and cos(420°) = cos(60°) = 0.5

Step 4: Multiply the values Now, we multiply sin(150°) by cos(420°): 0.5 * 0.5 = 0.25

Therefore, sin(180°-30°)cos(360°+60°) equals 0.25.