If sinx=3 cosx, then what is sinx∙cosx?

1 answer

tanx = 3

so,
sinx = 3/√10
cosx = 1/√10

Similar Questions

Simplify #3:[cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [cosx-(sin90cosx-cos90sinx)sinx]/[cosx-(cos180cosx+sinx180sinx)tanx] =

Top answer: looks good to me Read more.
Prove that each of these equations is an identity.A) (1 + sinx + cos x)/(1 + sinx + cosx)=(1 + cosx)/sinx B) (1 + sinx +

Top answer: you must have a typo in A since the left side equals 1 for B multiply the left side by Read more.
tanx+secx=2cosx(sinx/cosx)+ (1/cosx)=2cosx (sinx+1)/cosx =2cosx multiplying both sides by cosx sinx + 1 =2cos^2x sinx+1 =

Top answer: The mistake occurred when you simplified the equation (sinx+1)/cosx = 2cosx to sinx + 1 = 2cos^2x. Read more.
I'm working this problem:∫ [1-tan^2 (x)] / [sec^2 (x)] dx ∫(1/secx)-[(sin^2x/cos^2x)/(1/cosx) ∫cosx-sinx(sinx/cosx)

Top answer: I think your 2nd line is bogus, and the brackets are unbalanced. (1-tan^2)/sec^2 = 1/sec^2 - Read more.
Trigonometric IdentitiesProve: (tanx + secx -1)/(tanx - secx + 1)= tanx + secx My work so far: (sinx/cosx + 1/cosx +

Top answer: To continue proving the trigonometric identity, we can simplify the expression obtained so far: Read more.
I need to prove that the following is true. Thanks(cosx / 1-sinx ) = ( 1+sinx / cosx ) I recall this question causing all kinds

Top answer: To prove that (cosx / 1-sinx) is equal to (1+sinx / cosx), you can use a trigonometric identity and Read more.
how do i simplify (secx - cosx) / sinx?i tried splitting the numerator up so that i had (secx / sinx) - (cosx / sinx) and then i

Top answer: sec x = 1 / cos x sec x - cos x = 1 / cos x - cos x = 1 / cos x - cos ^ 2 x / cos x = ( 1 - cos ^ 2 Read more.
If y=3/(sinx+cosx) , find dy/dxA. 3sinx-3cosx B. 3/(sinx+cosx)^2 C. -3/(sinx+cosx)^2 D. 3(cosx-sinx)/(sinx+cosx)^2 E.

Top answer: ever heard of the chain rule? y = 3/u y' = -3/u^2 u' Now just plug in u = sinx+cosx Read more.
#1(1/sinx)(sin^2x + cos^2x(sinx/cosx) )/(sinx + cosx) = (sinx + cosx)/(sinx+cosx) = 1 Reiny helped with this question but I

Top answer: nevermind I figured it out Read more.
Verify the identity .(cscX-cotX)^2=1-cosX/1+cosX _______ sorry i cant help you (cscX-cotX)=1/sinX - cosX/sinX = (1-cosX)/sinX If

Top answer: To verify the identity, we need to simplify both sides and show that they are equal. Starting with Read more.