Question

Sin 65 cos 5-cos 65 sin 5Срочно

Answer 1

$sin65\cdot cos5-cos65\cdot sin5=sin(65-5)=sin60=\frac{\sqrt3}{2}$

Answer 2

To calculate the value of the expression sin(65) cos(5) - cos(65) sin(5), we can use trigonometric identities. Specifically, we'll use the angle sum identity for sine: sin(A + B) = sin(A) cos(B) + cos(A) sin(B).

Here's how to solve it step-by-step:

1. Express the given expression using the angle sum identity for sine: sin(65 + 5)

2. Now, use the value of sin(65 + 5): sin(70)

3. Finally, find the numerical value of sin(70). You can use a scientific calculator or look it up in trigonometric tables: sin(70) ≈ 0.93969

So, sin(65) cos(5) - cos(65) sin(5) ≈ 0.93969