The trigonometric expression sec x tan x can be simplified using the trigonometric identity for tangent and secant:
tan x = sin x / cos x
sec x = 1 / cos x
Substituting the expressions for tangent and secant, we get:
sec x tan x = (1 / cos x) * (sin x / cos x)
Multiplying the numerator and denominator, we get:
sec x tan x = sin x / (cos x)^2
Therefore, the simplified form of sec x tan x is sin x / (cos x)^2.
[next_post_link]
Share:
How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing
Ramses II (c. 1279–1213 BCE) Ramses II, also known as Ramses the Great, was one of the most prominent and powerful pharaohs of ancient Egypt.
Is the formula of cyclic adenosine monophosphate (cAMP) $ce{C_{10}H_{11}N_{5}O_{6}P}$ or $ce{C_{10}H_{12}N_{5}O_{6}P}$? Does it matter? The correct formula for cyclic adenosine monophosphate (cAMP) is $ce{C_{10}H_{11}N_{5}O_{6}P}$. The
How does a turtle develop inside its egg? The development of a turtle inside its egg is a fascinating process that involves several stages and
Why does photosynthesis specifically produce glucose? Photosynthesis is the biological process by which plants, algae, and some bacteria convert sunlight, carbon dioxide (CO2), and water
