I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
a = 9 / 7
step by step explanation:
9 / - a + 15 = 8
Determined the defined range
9 / ( - a ) + 15 = 8 , a ≠ 0
subtract 15 from each side
9 / - a + 15 - 15 = 8 - 15
calculate the difference
9 / - a = - 7
multiply both side of equation by - a
9 / - a × - a = - 7 × - a
9 = 7 a
divide each side by of equation by -7
9 / 7 = 7 a / 7
9 / 7 = a
swap the side of equation . ( optional )
a = 9 / 7
For the third one, on the left side do 3-51.29 and keep doing it like that and you should get all the answers you need :)
Answer:
Step-by-step explanation:
1 12
2 19
3 10
4 28
5 2
