Suppose sin(theta)= m where 0° Is Less than or equal to theta and less than or equal to 90°. Write an expression for each of the following in terms of “m”

Question

 a) sin(theta) = ?                           b) cos(theta) = ?    

Answer 1

sin(theta) = m

0 < m < 1 when theta is between 0 and 90 degreesu

cos(theta) = sqr(1-m^2) which is also between 0 and 1

cos(theta) = adjacent side divided by hypotenuse

sin(theta) = opposite side divided by hypotenuse = m/1

adjacent side = the square root of the hypotenuse squared mins opposite side squared = sqr(1^2 - m^2)