Determine whether the equation is an identity. If it is an identity, prove it.-(2 sin x + cos x)2 - (2 cos x - sin x)2 = -5
What will be an ideal response?
The statement is an identity.
-(2 sin x + cos x)2 - (2 cos x - sin x)2 =
-(4 sin2 x + 4 sin x cos x + cos2 x) - (4 cos2 x - 4 sin x cos x + sin2 x) =
-4 sin2 x - 4 sin x cos x - cos2 x - 4 cos2 x + 4 sin x cos x - sin2 x =
-4 sin2 x - cos2 x - 4 cos2 x - sin2 x = -(4 sin2 x + 4 cos2 x + sin2 x + cos2 x) =
-(4(sin2 x + cos2 x) + 1) = -(4 + 1) = -5
You might also like to view...
Solve the problem.The motion of a spring-mass system is described by the equation 
where y is the distance in feet from the equilibrium position and t is time in seconds. Find the acceleration of the mass at time t = 3/4 seconds.
A. -2?2 ft/s2 B. 2?2 ft/s2 C. -2? ft/s2 D. 0 ft/s2
Answer the question.The code for some garage door openers consists of 12 electrical switches that can be set to "+" , "0" , or "-" by the owner. With this type of opener, how many different codes are possible?
A. 531,193 B. 531,441 C. 532,701 D. 530,241
Graph the function using transformations.f(x) = 
A. 
B. 
C. 
D. 
The graph of a function is given. Decide whether it is even, odd, or neither.
A. even B. odd C. neither