We wish everyone a good day. In this article, we will tell you how much sin15 is and how to solve it.
In this lesson, we will show you how much sin 15 is and how to prove it. Normally sin15 can be solved from geometry. But you can also reach the answer of sin15 by using the sum-difference formula. Now let us tell you the solution of sin15.
Sin15 Solution Answer
Sin15 = 0.65028784
sin15 = $\frac{\sqrt{6}-\sqrt{2}}{4}$
First, we divide sin15 into sin(45-30). Here we can arrive at the answer of sin15 using the sum-difference formula. Now let's write the sine sum-difference formula first, then let's move on to solving the question.
Sine sum-difference formula = sin(a-b) = sina.cosb – sinb.cosa
Now we will write the expression sin(45-30) in the formula and move on to the solution. Then;
It becomes sin15=sin(45-30)=sin45.cos30-sin30.cos45.
Now let's write down the values we know:
sin30 = 1/2
sin45 = $\frac{\sqrt{2}}{2}$
cos30 = $\frac{\sqrt{3}}{2}$
cos45 = $\frac{\sqrt{2}}{2}$
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| sin15 solution answer |
We now substitute these values in the formula.
👉 sin(45-30) = sin45.cos30-sin30.cos45
👉 sin(45-30) = $\frac{\sqrt{2}}{2}.\frac{\sqrt{3}}{2}$ It is possible. From here too;
👉 sin(45-30) = $\frac{\sqrt{6}}{4}$ the answer comes out. Here is our answer;
👉 sin(45-30) = $\frac{\sqrt{6}-\sqrt{2}}{4}$ it will be out.
👉 Answer = sin15 = $\frac{\sqrt{6}-\sqrt{2}}{4}$
sin15 = $\frac{\sqrt{6}-\sqrt{2}}{4}$
