Cotx = Cosx/sinx
1/Cotx = sinx/cosx
Sinx + cosx *1/cotx = sinx + cosx * sinx/cosx = 2sinx
I'll do a similar problem, and I challenge you to do this using similar techniques!
If John works for 15$ a hour with his friends rather than working for 20$ an hour for 50 hours a month, what's the monthly opportunity cost?
John would make 20*50=1000 dollars a month at the second option as he makes 20$ an hour 50 times. Next, if he works with his friends, he makes 15*50=750 dollars as he works 50 hours for 15 dollars an hour, or adds 15 50 times.
His opportunity cost would be <highest money>-<lowest money>=1000-750=250 dollars a month. Good luck on this question, and feel free to ask further questions!
Answer:
sin∅= - √6/3
Step-by-step explanation:
Trigonometric function cos is even function which mean:
cos (-∅) = cos ∅
Trigonometric function sin is odd function which mean:
sin (-∅) = - sin∅ => sin∅ < 0
The basic trigonometric equation reads in this case with angle marked ∅:
sin²∅ + cos²∅ = 1 => sin²∅ = 1 - cos²∅ => sin²∅ = 1 - ( √3/3 )² =>
sin²∅ = 1 - (3/9) => sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 => sin∅ = - √(2/3) =>
sin∅ = - √2/√3 => sin∅ = - √6/3
God with you!!!
Answer:
see below
Step-by-step explanation:
Part A
Angles 1 and 5 are alternate angles (z angles), which means they are equal.
Similarly, angles 3 and 6 are alternate (z angle), which means they are equal.
Part B
Angles on a straight line add up to 180°.
