# Sin theta = -1

When solving some trigonometric equations, it becomes necessary to first rewrite the equation using trigonometric identities. One of the most common is the Pythagorean Identity, $$\sin ^{2} (\theta )+\cos ^{2} (\theta )=1$$ which allows you to rewrite $$\sin ^{2} (\theta )$$ in terms of $$\cos ^{2} (\theta )$$ or vice versa,

Divide each term by and simplify. theta=pi/2+-n2pi where n is a natural number Let's look at a graph of sintheta: graph{sinx [-6.25, 6.25, -2, 2]} This is sintheta with -2pi < theta < 2pi We can see that sintheta=1 at pi/2 and will repeat each cycle of the graph. And so the answer is: theta=pi/2+-n2pi where n is a natural number Theta is equal to zero, theta is equal to, well we've gotta go all the way again to two pi, two pi, but then it just keeps going on and on, and it makes sense. Theta equaled, or sorry, cosine of theta, the x-coordinate on this unit circle equaled one right when we were at zero angle, and we had to go all the way around the circle to get back to The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions. Their usual abbreviations are sin(θ), cos(θ) and tan(θ), respectively, where θ denotes the angle. Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly.

Thus the only way the cos T - sin T can be 1 is if sin T = 0 and the cos T = 1. The method suggested by @Albus Dumbledore can be tweaked slightly to prove that the upper bound of the given expression is $9$.Note that, since $\theta_i \in \left[0,\dfrac{\pi}{2}\right]$, $\cos(\theta_i) \geq 0$ and $\sin(\theta_i) \geq 0$. Sin Theta, Newcastle upon Tyne. 965 likes · 1 talking about this. Sin Theta features current and ex members of Acid Reign, M:Pire Of Evil, Def Con One, Blitzkrieg,Chaos Asylum and Decrepit Monolith Take the inverse sine of both sides of the equation to extract from inside the sine. The exact value of is . The sine function is positive in the first and second quadrants .

## Sin theta-cos theta+1/sin theta+cos theta-1=1/sec theta-tan theta prove Get the answers you need, now!

However, it is hard to miss the fact that the note may at best be furnishing motivation for Apr 30, 2013 $$\frac{1-\cos\theta}{\sin\theta} = \frac{\sin\theta}{1+\cos\theta}$$ I want to prove it by deduction rather than cross multiplying. Stack Exchange Network. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online … Answer to: Simplify: (1/cos theta)/(1/sin theta).

### We now prove that cos^2 (theta) (sin(theta))/theta 1 for -pi/2 theta pi/2 (and theta != 0). Consider the graph above. You can move the blue point on the unit circle to change the value of theta.

Question 885405: if sin theta +sin ^2 theta =1 prove that cos^2 +cos^4=1 Answer by mananth(15551) ( Show Source ): You can put this solution on YOUR website! 1.y=16(.25)^x 2.y=0.8(1.28)^x 3.y=17(1/5)^x''. What is the common and least multiples of 3 and 6?

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The formulas for addition and subtraction involving a small angle may be used for interpolating between trigonometric table values: Example: sin(0.755) Sine of theta over theta is defined over this interval, except where theta is equal to zero. But since we're defined everywhere else, we can now find the limit. So what we can say is, well, by the squeeze theorem or by the sandwich theorem, if this is true over the interval, then we also know that the following is true. Sin theta-cos theta+1/sin theta+cos theta-1=1/sec theta-tan theta prove Get the answers you need, now! sin 2 (x) + cos 2 (x) = 1. tan 2 (x) + 1 = sec 2 (x).

Yes. As I can't type theta symbol I will type x instead. So LHS = sin x/(1+cos x) Multiply and divide by 1- cos x = {sin x /(1+cos x)}{1- cos x)/1- cos x)} = sin x(1- cos x)/(1- cos^2 x) = sin x (1- cos x)/sin^2 x = (1- cos x)/ sin x = (1/sin x) - The angle of refraction, again named with the Greek letter theta, is called theta 2. In the above diagram approximate values for the angles are: theta 1 = 43 degrees. theta 2 = 31 degrees. Now, if you divide the sine of theta 1 by the sine of theta 2 you get: sin(43 degrees) / sin(31 degrees) = 1.32 Question 733621: Sin(theta)=(1/5) and theta is in the second quadrant, find the remaining five trigonometric function values Answer by lwsshak3(11628) ( Show Source ): You can put this solution on YOUR website!

Their usual abbreviations are sin(θ), cos(θ) and tan(θ), respectively, where θ denotes the angle. Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly. No no , it's not the truth .

Online calculator for sin -1 (x) Note. Enter the value of x and unit in order to calculate inverse sine values No no , it's not the truth . $\frac{\sin\theta}{\theta}≠ 1$ But the real one is [math]\displaystyle\lim_{\theta\rightarrow 0}\frac{\sin\theta}{\theta}=1 Important note: There is a big difference between csc θ and sin-1 θ.

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### It is sin (theta). 2pi is the complete circle. If you use the sum formula you will get the same thing. Answer by macston(5194)

sin(x y) = sin x cos y cos x sin y.

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ThaniosAkro. Permission 18 Apr 2016 Abstract: Snell's law states that the quantity n\sin\theta is unchanged in refraction of light passing from one medium to another.

Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online … Answer to: Simplify: (1/cos theta)/(1/sin theta). By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can Sin Theta, Newcastle upon Tyne. 965 likes · 1 talking about this. Sin Theta features current and ex members of Acid Reign, M:Pire Of Evil, Def Con One, Blitzkrieg,Chaos Asylum and Decrepit Monolith Get an answer for 'How many values of theta in the interval 0 < theta <= 2pi satisfy 1 - 3 sin theta + 5 cos 3theta = 0 ?' and find homework help for other Math questions at eNotes View n333d to complete.xlsx from PHYS 1110 at United Arab Emirates University. Trials θ1(degrees) 0 1 2 3 4 5 θ2(degrees) θ2(degrees) 0 25 35 45 55 65 sin theta 1 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.