answersLogoWhite

0


Best Answer

Prove that tan(x)sin(x) = sec(x)-cos(x)

tan(x)sin(x) = [sin(x) / cos (x)] sin(x)

= sin2(x) / cos(x)

= [1-cos2(x)] / cos(x)

= 1/cos(x) - cos2(x)/ cos(x)

= sec(x)-cos(x)

Q.E.D

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
ReneRene
Change my mind. I dare you.
Chat with Rene

Add your answer:

Earn +20 pts
Q: Sec - cos equals tansin
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Cos plus tansin equals sec?

Start on the left-hand side. cos(x) + tan(x)sin(x) Put tan(x) in terms of sin(x) and cos(x). cos(x) + [sin(x)/cos(x)]sin(x) Multiply. cos(x) + sin2(x)/cos(x) Make the denominators equal. cos2(x)/cos(x) + sin2(x)/cos(x) Add. [cos2(x) + sin2(x)]/cos(x) Use the Pythagorean Theorem to simplify. 1/cos(x) Since 1/cos(x) is the same as sec(x)- the right-hand side- the proof is complete.


1 over cos x equals what?

sec(x)=1/cos(x), by definition of secant.


Should we find cos theta if sec theta equals -10?

No.


How do you solve Sin x sec x equals tan x?

Cos x = 1 / Sec x so 1 / Cos x = Sec x Then Tan x = Sin x / Cos x = Sin x * (1 / Cos x) = Sin x * Sec x


Is cos 2 x sec x equals 2 cos x - sec x an identity?

Yes, it is. the basic identity is for a double angle relation: cos 2x = 2 cosx cos x -1 since sec x =1/cos x if we multiply both sides by sec x we get cos2xsec x = 2cosxcos x/cos x -1/cos x = 2cos x - sec x


How do you identify sec x sin x equals tan x?

Rewrite sec x as 1/cos x. Then, sec x sin x = (1/cos x)(sin x) = sin x/cos x. By definition, this is equal to tan x.


What is sec x cos x?

sec x = 1/cos x sec x cos x = [1/cos x] [cos x] = 1


What is the population of Tansin?

The population of Tansin is 646.


How do you find sec x cos x?

sec x = 1/cos x so sec x * cos x = 1


What is the reciprocal function of sec A?

The answer is cos A . cos A = 1/ (sec A)


What is sec theta - 1 over sec theta?

Let 'theta' = A [as 'A' is easier to type] sec A - 1/(sec A) = 1/(cos A) - cos A = (1 - cos^2 A)/(cos A) = (sin^2 A)/(cos A) = (tan A)*(sin A) Then you can swap back the 'A' with theta


Find the principal solution of sec x equals 2?

sec(x) = 2 so cos(x) = 1/2 and so x = pi/3