Why is cos(0) = 1? - Socratic
Jun 28, 2015 · The x-coordinate is the cos value and the y-coordinate is the sin value. Answer link. In terms of the right triangles used to define trigonometric functions, cos (x) = frac {"adjacent side"} {"hypotenuse"}. When x=0, "adjacent side length" = "hypotenuse length". Therefore, cos (0) = 1. Consider a series of triangles with the base angle ...
When cosx=0, what does x equal? - Socratic
May 15, 2016 · 90^o x= cos^-1(0) = 90^o Using the cosine graph, x could also = 270^o, 450^o, 810^o, -90^o, -270^o, -450^o, -810^o etc.
SOLUTION: When does cos(x) = 0? - Algebra Homework Help
When does cos(x) = 0? From the "unit circle" cos(x)=0 when In terms of degrees: 90 and 270 degrees
How do you solve cos x + sin x = 0? | Socratic
Jun 7, 2015 · cosx + sinx = 0. cosx = − sinx. 1 = − tanx. −1 = tanx. tanx is equal to −1 at 3π 4 and 7π 4.
Fundamental Identities - Trigonometry - Socratic
Divide the fundamental identity # sin^2x + cos^2x = 1# by #sin^2x# or #cos^2x# to derive the other two: #sin^2x/sin^2x + cos^2x/sin^2x = 1/sin^2x#. #1 + cot^2x = csc^2x#. #sin^2x/cos^2x + cos^2x/cos^2x = 1/cos^2x#. #tan^2x + 1 = sec^2x#. Kevin B. · 1 · Feb 22 2015.
How do you solve cosx=0? - Socratic
Apr 1, 2016 · Answer link. x=pi/2+kpi, k in ZZ In the trigonometric circle you will notice that cos (x)=0 corresponds to x=pi/2 and also x=-pi/2. Additionally to these all the angles that make a complete turn of the circle (2kpi) plus +-pi/2 correspond to cos (x)=0. So you have: x=+-pi/2+2kpi, k in ZZ If you try to see which are the first elements (from k =0 ...
When cosx=1, what does x equal? - Socratic
Sep 30, 2016 · 1 Answer. x can be any integer multiple of 2π, including 0. The function cos(x) has period 2π and cos(0) = 1. Hence: cos(2nπ) = 1 for any integer n. graph {cos (x) [-10, 10, -5, 5]}
What does cosx sinx equal? - Socratic
Mar 7, 2016 · Answer link. cos (x)sin (x) = sin (2x)/2 So we have cos (x)sin (x) If we multiply it by two we have 2cos (x)sin (x) Which we can say it's a sum cos (x)sin (x)+sin (x)cos (x) Which is the double angle formula of the sine cos (x)sin (x)+sin (x)cos (x)=sin (2x) But since we multiplied by 2 early on to get to that, we need to divide by two to make ...
Double Angle Identities - Trigonometry - Socratic
Answer: As below. Explanation: Following table gives the double angle identities which can be used while solving the equations. You can also have sin2θ,cos2θ expressed in terms of tanθ as under. sin2θ = 2tanθ 1 +tan2θ. cos2θ = 1 −tan2θ 1 +tan2θ. sankarankalyanam · 1 · Mar 9 2018.
What is the limit as x approaches infinity of cosx? | Socratic
Jul 14, 2015 · For any x_N in this sequence cos(x_N)=0. So, the first sequence of values of cos(x_N) equals to 1 and the limit must be 1. But the second sequence of values of cos(x_N) equals to 0, so the limit must be 0. But the limit cannot be simultaneously equal to two distinct numbers. Therefore, there is no limit.