Let's break down the given expression step by step:
First, we need to calculate cos(40º):cos(40º) ≈ 0.766
Next, we need to calculate sin(50º):sin(50º) ≈ 0.766
Now, we need to calculate cos(80º):cos(80º) ≈ 0.173
Lastly, we need to calculate sin(70º):sin(70º) ≈ 0.940
Substitute these values into the expression:(0.766 + 0.766) / (0.173 - 0.940)= 1.532 / -0.767= -2
Therefore, the value of the expression cos(40º) + sin(50º) / cos(80º) - sin(70º) is -2.
Let's break down the given expression step by step:
First, we need to calculate cos(40º):
cos(40º) ≈ 0.766
Next, we need to calculate sin(50º):
sin(50º) ≈ 0.766
Now, we need to calculate cos(80º):
cos(80º) ≈ 0.173
Lastly, we need to calculate sin(70º):
sin(70º) ≈ 0.940
Substitute these values into the expression:
(0.766 + 0.766) / (0.173 - 0.940)
= 1.532 / -0.767
= -2
Therefore, the value of the expression cos(40º) + sin(50º) / cos(80º) - sin(70º) is -2.