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Mathematics
Proof this identities. (a) sin x cot x = cos x
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Change cotx to cosx/sinx (an identity)and then do the multiplication by sinx.
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State the restrictions on the variables for these trigonometric identities.
a)(1 + 2 sin x cos x)/ (sin x + cos x) = sin x + cos
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generally, restrictions on variables are caused by denominators being zero so in #1 sinx + cosx = 0
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Verify the identities.
1.) SIN[(π/2)-X]/COS[(π/2)-X]=COT X 2.) SEC(-X)/CSC(-X)= -TAN X 3.) (1 + SIN Y)[1 + SIN(-Y)]= COS²Y 4.)
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1.) 1/TAN[(π/2)-X]=COT X BINGO! SOLVED! 2.) SEC X/-CSC X 1/COS X ÷ -1/COS X 1/COS X * -SIN X/1
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Simplify the trigonometric function
sin^4x-cos^4x cos^2â-sin^2â=1+2cosâ (1+cot^2x )(cos^2x )=cot^2x
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sin^4x-cos^4x = (sin^2 x+cos^2 x)(sin^2 x -cos^2 x = 1 (sin^2 x - cos^2 x) = 2 sin^2 x - 1
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Hello all,
In our math class, we are practicing the trigonometric identities (i.e., sin^2(x)+cos^2(x)=1 or cot(x)=cos(x)/sin(x).
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1) csc²(x)=1/sin²(x) and cot(x)=cos(x)/sin(x) => csc²(x)/cot(x) = sin(x)/(sin²(x)*cos(x)) We can
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45) Prove the following identities. Use a separate piece of paper.
a) sec x − tan x = 1−sinx cos x b) (csc x − cot x) 2 =
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a) Proof: Starting with the left side of the equation, we have: sec x − tan x Recall that sec x is
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I do not understand these problems. :S
I'd really appreciate the help. Use trigonometric identities to transform the left side of
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for most of these you have to know your basic trig relationships tanx = sinx/cosx ; cotx = cosx/sinx
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prove the following using trigonometric identities: cos 0 (sin 0 + cos 2nd power / sin 0) = cot 2. Keep getting stuck. thanks
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To prove the given trigonometric equation, we need to manipulate the expression on the left-hand
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This question has me stuck. Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 +
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for the first one: sin^2 Ø + cos^2 Ø = 1 divide each term by cos^2 Ø sin^2 Ø/cos^2 Ø + cos^2
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A right triangle has acute angles C and D. If tan C=158 and cos D=1517, what are cot D and sin C?
cot D=8/15 and sin C=8/17 cot
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I labelled the triangle CDE, with E as the right angle. All you have to do is recognize that your
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The identities cos(a-b)=cos(a)cos(b)sin(a)sin(b) and sin(a-b)=sin(a)cos(b)-cos(a)sin(b) are occasionally useful. Justify them.
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Sounds like a good justification to me. Oh, did you mean prove them? In that case, using the
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Related Questions
Which of the following are trigonometric identities? Select all that apply (there are 3 answers).
A cos^2(theta)=sin^2(theta)-1 B
1. What two common identities are most useful for simplifying 2tanx/(sin^2x + cos^2x - tan^2x)?
Two identities are: sin^2x +
if sin θ = -7/13 and cos θ= 12/13, find tan θ and cot θ using Quotient Identities.
Since cot x = cos x / sin x, if cot x = 1/2, with the angle x in the first quadrant,
then cos x = 1 and sin x = 2 (1) State true
If sinθ=7/13 and cosθ=12/13 find tan θ and cot θ
Use Pythagorean Identities to find sin θ and tan θ if cos θ =-24/25 if
I don't understand,please be clear!
Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4
Prove that each equation is an identity.
I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s=
Show that cot((x+y)/2) = - (sin x - sin y)/(cos x - cos y) for all values of x and y for which both sides are defined.
I tried
sorry, another I can't figure out
Show that (1-cot^2x)/(tan^2x-1)=cot^2x I started by factoring both as difference of squares.
Use identities to simplify each expression.
sin(x)+cos^2(x)/sin(x) = ? tan^3(x)−sec^2(x)tan(x)/cot(−x) = ?
