If the value of cos 75°=0.26cos 75°=0.26, then sin x = 0.26. sin x = 0.26. What is the value of x?

sin x = 0.26

arcsin (sin x) = arcsin (0.26)

x = arcsin (0.26)

x=15.07 °

the value of x is 15.07°

If I get the question it says if the value of cos 75 = 0.26 and sin x = 0.26. What is x. Sin x = 0.26 but since the sine of an angle and the cosine of its complement are equal, x = 15. Sin x = 0.26 and cos 75 = 0.26 Therefore Sin x = cos 75 But x + 75 = 90 Hence x = 15 sin 15 = cos 75 = 0.26