Which fundamental identity is used in the second step of proof?
Answer:
C) sin^2(Ф) + cos^2(Ф) = 1
Step-by-step explanation:
sin^2(Ф) - cos^2(Ф)sin^2(Ф) = sin^4(Ф)
LHS = sin^2(Ф) - cos^2(Ф)sin^2(Ф)
Step 1: sin^2(Ф) [ 1 - cos^2(Ф)]
Now we use the identity sin^2(Ф) + cos^2(Ф) = 1 because sin^2(Ф) = 1- cos^2(Ф)
Step 2: Using the above identity
sin^2(Ф) (sin^2(Ф)) = sin^4 (Ф)
Answer: C) sin^2(Ф) + cos^2(Ф) = 1
Hope this will helpful.
Thank you.
Answer: trigonometric identities
1 C sin^2
2 B csc x(csc x-1)
3 D 1-sin theta/ csc theta
4 D tan x sin x
5 A cos x cot2 x