Answer:
The expression are equivalent
Step-by-step explanation:
The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :
Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;
4(2h + 2) - 7h - 8.5
8h + 8 - 7h - 8.5
8h - 7h + 8 - 8.5
h - 0.5
-0.5(1 - 2h)
-0.5 + h
= h - 0.5
Hence, both expressions are the same
(cos(x) + cos(y))^2 + (sin(x) - sin(y))^2 Remove the brackets
cos^2(x) + cos^2(y) + 2cos(x)*cos(y) + sin^2(x) - 2(sin(x)*sin(y) + sin^2(y) Combine these two in bold to make 1 because sin^2(x) + cos^2(x) = 1
1 + cos^2(y) + 2cos(x)*cos(y) - 2*sin(x)*cos(y) + sin^2(y)
These two in bold also make 1
2 + 2cos(x)*cos(y) - 2*sin(X)*sin(y) Bring out a common factor of 2
2 +2(cos(x)*cos(y) - sin(x)*sin(y) )
but cos(x+y ) = cos(x)*cos(y) - sin(x)*sin(y)
2 + 2* cos(x + y) is your final answer.
Answer: angle 1: 62 degrees, angle 2:45 degrees, angle 3: 24 degrees
Step-by-step explanation:
