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# Find the limit of sin(x squared-4)/(x-2) as x approaches 2

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X squared to the negative 4th /x-2 as x approaches 2

Posted on Oct 13, 2013

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Posted on Jan 02, 2017

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## Related Questions:

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Square each side

Sin ^2 (x) + cos ^2 (x) +2 sin (x)cos (x) = 49/25

1 + 2sin (x)cos (x) = 1.960

sin (2x) = 0.960

2x = 73.74 deg

x = 36.87 deg

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### How do I input into the calculator sin squared 45. The answer is 0.75 but how do I go about it on the calculator?

SOHCAHTOA.

Sine is the Opposite divided by the Hypotenuse.
Let's use a triangle with both sides equal to 1 and the hypotenuse will be a^2 + b^2 = c^2, or 1^2 + 1^2 = c^2, or c^2 = 2, so c = square root (2).

So in this triangle, the sin 45 degrees is 1/square root 2 or 0.7071.

Sin square 45 is really sin 45 squared. So we get our answer 0.7071 and square it, and we get 0.5.

Good luck.

Paul

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### Enter sin squared in Ti-83

The position of the exponent in trig functions is an anomaly in mathematical notation. While the square of sin x is commonly written as
sin^2(x) ,
the square of any other function is written as f(x) ^2 . For example, you wouldn't write ln^2(2) if you mean the square of the natural logarithm of 2, instead you write it as ln(2)^2 or (ln(2))^2 .
The calculator works the same way. To calculate the square of the sine of 3, for example, press
SIN 3 ) ^ 2 ENTER

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### How do you square a cosine on ti-84 plus

You need to enclose the whole function in parentheses, then square it. sin^2(X) shoulld be entered as sin(x)*sin(x) or (sin(X))^2

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### I need to rewrite Y=5(sqrt2)sin(x)-5(sqrt2)cos(x) as Y=Asin(Bx-c)

Use the fact that cos(pi/4)=sin(pi/4)= 1/square root(2). Trigonometric identity cos(a+b)=cos(a)cos(b)-sin(a)sin(b).

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### Im not sure how to put the formula 4 sin squared x 60 into my casio fx-83wa calculator it keeps saying syn error please help

Hello,
You should know that you cannot enter something like sin^2(x) as you would by hand. So you must use parentheses: ( sin(x) )^2. If you do that there is no ambiguity. The calculator evaluates the sine because parentheses are evaluated first, then it takes the square.

So 4[x][(] [SIN][(] 60 [)] [)] [Xto the 2] [=] result is 3/

Since you do not say what model you use, what I entered may not be appropriate: the parentheses inside the sine function may not be needed. In the new Casio the first parenthesis inside the sine is supplied by calculator, but the closing one must be entered by the user.
Hope it helps

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### Solve it plz......

cos x + root 3 sin x =root 2
cos x + ö3 * Sin x = ö2
squaring both the side
(cos x + ö3 * Sin x)2 = (ö2)2
Cos2 x + 3 * Sin2 x = 2
Cos2 x + Sin2 x + 2 * Sin2 x = 2
1 + 2 * Sin2 x= 2
2 * Sin2 x = 2-1
2 * Sin2 x = 1
Sin2 x = ½
Sin x = ö½
Sin x = 1/V2= Sin 45
X = 450

Aug 28, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

### Cosh Squared or Cubed

if you want to square sin(3), press:

(
sin
3
)
)
^
2

Sep 24, 2007 | Texas Instruments TI-89 Calculator

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