Im asked to find these two values without using a table or calculator.
1) Sin1.2(degrees)
2) Tan 0.7(degrees)
thank you for any help
Hello,
if you have very small angles in radians you can use the property:
sin(x) ≈ tan(x) ≈ x
to 1): That means: Calculate the radians of 1.2° :
x = 1.2/360 * pi = pi/150 ≈ 0.021 (you can guess this value using pi ≈ 3.14) Therefore you get:
sin(1.2°) ≈ 0.021
to 2): Calculate the radians of 0.7°:
x = 0.7/3600 * pi (use pi ≈ 22/7) ≈ 22/3600 = 11/1800 ≈ 1/180 ≈ 0.006
Therefore you get:
tan(0.7°) ≈ 0.006
Please check my calculations with a calculator
EB