Question

Use the sum and difference identities to rewrite the following expression as a trigonometric function of a single number.sin(35%)cos(115) + cos(35) sin(115)

Answer 1

To solve this problem, we will use the following identity:

`\sin (a+b)=\sin a\cos b+\cos a\sin b\text{.}`

Using the above identity we can rewrite the given expression as follows:

`\sin (35^(\circ)+115^(\circ)).`

Simplifying the above result, we get:

`\sin (150^(\circ))\text{.}`

Answer:

`\sin (150^(\circ))\text{.}`