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Start learning 50% faster. Sign in nowGiven sin x + sin 2x = 1 and cos x + cos 2x = 0. Using the double-angle identities: sin 2x = 2 sin x cos x and cos 2x = 2 cos² x - 1. Substitute sin 2x and cos 2x into the equations: From sin x + 2 sin x cos x = 1, sin x(1 + 2 cos x) = 1. (Equation 1) From cos x + (2 cos² x - 1) = 0, 2 cos² x + cos x - 1 = 0. Solving this quadratic equation gives cos x = 1/2 or cos x = -1. For cos x = 1/2, substitute into Equation 1: sin x(1 + 2 × 1/2) = 1, sin x(1 + 1) = 1, 2 sin x = 1, so sin x = 1/2. Thus, x = 30°. Answer: a) 30°.
In active packaging Ca(OH)2 and NaOH acts as
a) Oxygen scavenger
b) Carbon Dioxide scavenger
c) Ethylene scavenger
d) Moisture remover
Name the monosaccharide that does not occur naturally in foods/beverages:
The hydrolysis of fats and oils produces
Which acid is found in carbonated non-alcoholic beverages?
Microwaves are ……………radio waves that are within a frequency band of…………
NABL follows the guideline of
Cutting of fruit and vegetables into cubes is known as
a) Cubing
b) Dicing
c) Slicing
d) Gr...
Which one of the following is used as catalyst in hydrogenation of oil?
The feeding intensity of fish determined by calculating gastro-somatic index is equal to
Which of the following metals are toxic to humans even at low concentrations
Options:
1. Arsenic
2. Lead
3. Iron
4. Selenium