Angle Sums and Differences Worksheets

How to Determine the Sum of Differences with Angles - Finding out the value of the trigonometric identities can be much easier if we use the concept of sum and differences of identities. In other words, it is way tougher to find out the value of sin⁡15, but if we apply a difference identity of the sine function, then it becomes much easier. Like, if we find out the value of sin⁡ (45-30). However, you cannot just write sine 45 and sine 30 separately and subtract them. So, let us discuss the formula in detail. The difference formula for the sine function is sin⁡(α- β) = sinα cosβ - cosα sinβ. In this scenario, α is 45°, while β is 35°. Now, let us solve the problem.

Sin (45-30)

Similarly, there are other formulae as well, i.e., sum identity of sine, and both sum and difference identity of cos.
Sin Operations

S. Gudder Quote

The essence of mathematics is not to make simple things complicated, but to make complicated things simple.