Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = 
[Since, sin(a) = 
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) = 
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
=
Therefore, cos(a + b) =
Answer:
Yes, after 10 key presses, both will arrive at the number 30.
Step-by-step explanation:
The difference between the numbers on the calculators is reduced by 10 with each key press. After 10 key presses, the initial difference of 100 will be zero. After 10 key presses of (-7), the calculator starting at 100 will be ...
100 +10(-7) = 30
After 10 key presses of (+3), the calculator starting at 0 will be ...
0 +10(+3) = 30
Both calculators will show 30 after 10 key presses.
I'm not exactly sure of what you mean, but if the number (for example) were 2,3, and 6 you could say 2 and 6 multiply to get 6 and 6 divided by 2 would be 3 and so on. You could do this with any operation. Hope this helps, and sorry if this wasa little unclear.
Answer:
Step-by-step explanation:
To write this equation with h isolated, we cancel everything else on the right hand side of the equals sign. This means we cancel π and r².
Since both of these are attached to h by multiplication, we divide by both to cancel. We can divide by both at the same time:
