Answer:
x= 3 +
, 3 -
Step-by-step explanation:
You use the quadratic formula to get x= 
Then you simplify and get the answers x= 3 +
, 3 -
Step-by-step explanation:
(cos 10° − sin 10°) / (cos 10° + sin 10°)
Rewrite 10° as 45° − 35°.
(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))
Use angle difference formulas.
(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)
sin 45° = cos 45°, so dividing:
(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)
Combining like terms:
(2 sin 35°) / (2 cos 35°)
Dividing:
tan 35°
Ronald has 5 sets of three yellow beads, if there are 2 blue beads for every set, what is the total amount of blue beads?
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = 
cos(x) = 
x = 
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = 
tan(x) = 
x = 
x = 67.29°
x ≈ 67.3°