Question

what is (sin 75- sin 15)/(cos 75+ cos15)​

Answer 1

Answer:

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Answer 2

Answer:

[(sin(30 + 45) - sin(60 - 45)]/[cos(30 + 45) + cos(60-45)]

=[(sin30cos30 + sin45cos45) - (sin60cos60 - sin45cos45)]/[(cos30cos45 - sin30sin45) + (cos60cos45 - sin60sin45)]

= [($\frac{\sqrt{3}}{4}$ + 1/2) - ($\frac{\sqrt{3} }{4}$ - 1/2) / [($\frac{\sqrt{3} }{2\sqrt{2} }$ - $\frac{1}{2\sqrt{2} }$) + ($\frac{1}{2\sqrt{2} }$ - $\frac{\sqrt{3} }{2\sqrt{2} }$)]

= $\frac{\sqrt{3}}{4}$ / $\frac{\sqrt{3}}{\sqrt{2} }$

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

= $\frac{1}{3\sqrt{2} }$

= $\frac{3\sqrt{2} }{36}$ (rationalising)