Answer:
a = 1√6
b = -2
Step-by-step explanation:
Hello,
To solve this trigonometric problem, we need to convert this values into fractions
a).
Sin45° = 1/√2
cos30° = √3/2
Sin60° = √3/2
Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]
(1/√2) ÷ (√3/2 + √3/2)
Add √3/2 + √3/2
1/√2 ÷ 2√3/2
1/√2 × 2/2√3
2/2√(2×3)
2/2√6
1/√6
b
Cos 180° = -1
Sin150° = ½
Tan135° = -1
2cos180° - 2sin150° - tan135°
(2 × -1) - (2×½) - (-1)
-2 - 1 + 1 = -2
This would be false because the difference in the highest and lowest numbers are 4.
Answer:
2
Step-by-step explanation:
When in doubt, have your calculator evaluate this.
___
The reference angle for 5π/3 is π/3. The angle is in the 4th quadrant, where the secant is positive.
sec(5π/3) = sec(π/3) = 1/cos(π/3) = 1/(1/2)
sec(5π/3) = 2
Since they are vertical angles, they are congruent:
2x + 2 = 3x - 52
Solving:
54 = x
Hope this helps!
Answer:
8.25
Step-by-step explanation:
