Sin ø = opposite/hypotenuse = 2/3, cos ø = adjacent/hypotenuse = ?/3, tan ø = opposite/adjacent = 2/?, sec ø = 1/cos ø
to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2
Manipulating the equation to find the adjacent value = ?
adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)
so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec <span>ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b </span>
Answer:
#7 is x = 51
#8 is x = 9
Step-by-step explanation:
#7 walk-through
35 + 2x + 16 + 4x + 3 = 360
35 + 16 + 3 + 2x + 4x = 360
54 + 6x = 360
6x = 306
x = 51
#8 walk-through
6x + 2 = 56
6x = 54
x = 9