Simplifythe numerator. Tap for more steps (1+ sin(x))(1−sin(x)) 1−sin(x) ( 1 + sin ( x)) ( 1 - sin ( x)) 1 - sin ( x) Cancel the common factor of 1−sin(x) 1 - sin ( x). Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations TheLaw of Sines. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works for any triangle: a, b and c are sides. A, B and C are angles. (Side a faces angle A, side b faces angle B and. side c faces angle C). Oneway can be using tan 2x = t so sin x= 1+t22t and cos x= 1+t21−t2. Here 2sin x= cos x implies t2+4t−1 = 0 from wich tan 2x = 2 ± 5 .Hence the answer of How do you solve 1 + sin(x) = cos(x) ? x= 0 Explanation: 1+sin(x)= cos(x) or cosx−sinx = 1 . Squaring both sides we get (cosx−sinx)2 = 1 or cos2x+sin2x−2sinxcosx= 1 or 1− (\tan (x)=3\sin (x)\) \[\dfrac{\sin (x)}{\cos (x)} =3\sin (x)\nonumber\] Multiplying both sides by cosine \[\sin (x)=3\sin (x)\cos (x) \nonumber\] At this point, you may be tempted to divide both sides of the equation by sin(\(x\)). Resist the urge. When we divide both sides of an equation by a quantity, we are assuming the quantity is never zero. Determinethe exact value of sin(θ) + cos(θ) if csc(θ) = 3 and (θ) is in Quadrant II. Draw a triangle. Opposite side is 1, hypotenuse is 3, adjacent side is 2 2 Find sin,cos.Note the signs +,− respectively. How do you find the values of the six trigonometric functions given cscθ = 4 and cotθ<0 ? tanx) = sin(x)/cos(x) as you noted. Let f(x) = sin(x) and g(x) = cos(x). This means f'(x) = cos(x) and g'(x) = -sin(x). The the quotient rule is structured as [f'(x)*g(x) - f(x)*g'(x)] / g(x)^2. In your question above you noted that the terms should be divided and that is not the case as they should be multiplied together. Explanation tanxcons = sinx cosx ⋅ cosx 1 = sinx. Answer link. Use the fact that tan (x) = sin (x)/cos (x) tanxcons = sinx/cosx *cosx/1 = sinx. BSVNE5.

what is cos x divided by sin x