chonawilson4
15.03.2020 •
Mathematics
Verify the identity:
secθcosθ/cotθ=tanθ
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Ответ:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sec(θ) cos(θ)/cot(θ) = tan(θ)
Multiply both sides by cot(θ):
cos(θ) sec(θ) = ^?cot(θ) tan(θ)
Write cotangent as cosine/sine, secant as 1/cosine and tangent as sine/cosine:
1/cos(θ) cos(θ) = ^?cos(θ)/sin(θ) sin(θ)/cos(θ)
cos(θ) (1/cos(θ)) = 1:
1 = ^?(cos(θ)/sin(θ)) (sin(θ)/cos(θ))
(cos(θ)/sin(θ)) (sin(θ)/cos(θ)) = 1:
1 = ^?1
The left hand side and right hand side are identical:
(identity has been verified)
Ответ:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sec x = , cot x = , tan x =
Consider the left side
secΘ cosΘ ÷ cotΘ ← change ÷ to × and invert cotΘ
= × cosΘ × ← cancel cosΘ on numerator/ denominator
=
= tanΘ = right side ⇒ verified
Ответ:
why ma name fam
Step-by-step explanation: