Find out the cylinders volume whose height is 3 cm and radius 5cm
2 answers:
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Answer: see proof below
<u>Step-by-step explanation:</u>
Use the following Half-Angle Identities: tan (A/2) = (sinA)/(1 + cosA)
cot (A/2) = (sinA)/(1 - cosA)
Use the Pythagorean Identity: cos²A + sin²B = 1
Use Unit Circle to evaluate: cos 45° = sin 45° =
<u>Proof LHS → RHS</u>
Given:
Rewrite Fraction:
Half-Angle Identity:
Substitute:
Simplify:
= 2
LHS = RHS: 2 = 2
