Mathematics: What is the exact value of sin75 degrees

What is the exact value of sin75 degrees - id753587673, stalley1521

manueelaa

08.01.2022

$\frac{\sqrt{2}+\sqrt{6} }{4}$

Step-by-step explanation:

Using the addition formula for sine

• sin(x + y) = sinxcosy + cosxsiny

sin75° can be expressed as sin(30 + 45)°, thus

sin(30 + 45)°

= sin30°cos45° + cos30°sin45°

= ( $\frac{1}{2}$ × $\frac{\sqrt{2} }{2}$ ) + ( $\frac{\sqrt{3} }{2}$ × $\frac{\sqrt{2} }{2}$ )

= $\frac{\sqrt{2} }{4}$ + $\frac{\sqrt{6} }{4}$

= $\frac{\sqrt{2}+\sqrt{6} }{4}$

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awesomebutterfly

06.08.2020

Where is the graph? You need to up load the graph for people to be able to explain this.

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