Question

cos 15 degree minus Cos 75 degree / sin 75 degree minus sin 15 degree

Answer 1

Answer:

$\frac{cos15-cos75}{sin75-sin15} =\frac{cos(60-45)-cos(30+45)}{sin(30+45)-sin(60-45)} =\frac{cos60cos45+sin60sin45-(cos30cos45-sin30sin45)}{sin30cos45+cos30sin45-(sin60cos45-cos60sin45)}= \frac{\frac{\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} } =1$

I skipped some steps but it's pretty much converting trigonometric functions into exact values.

Hope this helps :)

Step-by-step explanation: