How do you verify csc^2xcot^2x+csc^2x=csc^4x - Socratic
2018年3月5日 · Take csc^2(x) common then it becomes: csc^2(x)(1+ cot^2(x)) which is equal to csc^4(x) Basic trigonometric identities To prove (csc^2x cot^2x + csc^2 x) = csc^4 x Taking common term csc^2 x on L H S out, => csc^2 x ( 1 + cot^2 x) But csc^2 x = 1 + cot^2 x (Trigonometric identity.) Hence => csc^2 x * csc^2 x = csc^4 x = R H S Q E D.
How do you verify csc^2(theta)(1-cos^2(theta))=1? - Socratic
2015年11月6日 · True csc^2(theta)*(1-cos^2(theta))=1 1) Solve on the left side. Notice the Pythagorean Identity. 1-cos^2(theta) = sin^2(theta), this is just a jumbled version of sin^2x +cos^2x = 1 identity.
How do you prove that # cot^2 x +csc^2 x = 2csc^2 x - 1 - Socratic
2015年12月7日 · Prove: cot^2 x + csc^2 x = 2csc^2 x - 1 cos^2 x/(sin^2 x) + 1/(sin^2 x) = (cos^2 x + 1)/(sin^2 x) = = (1 - sin^2 x + 1)/(sin^2 x) = (2 - sin^2 x)/(sin^2 x) = = 2/(sin ...
How do you solve the identity csc^2 x = 3 csc x + 4? - Socratic
2015年10月3日 · S = {arcsin(1/4), pi - arcsin(1/4), (3pi)/2} Reewrite csc(x) as y y^2 = 3y + 4 Make one of the sides equal 0 y^2 - 3y - 4 = 0 Solve the quadratic either by sum and product, (wielding 4 and -1) or by the formula y = (3 +- sqrt(9 -4*1*(-4)))/2 = (3 +- sqrt(9 +16))/2 = (3 +- sqrt(25))/2 y= (3 +- 5)/2 r_1 = (3+5)/2 = 8/2 = 4 r_2 = (3-5)/2 = -2/2 = -1 So we know that csc(x) = 1/sin(x) = …
How do you simplify (tan^2 (theta) csc^2 (theta)-1) / tan^2
2016年7月16日 · How do you show that #2 \sin x \cos x = \sin 2x#? is true for #(5pi)/6#? How do you prove that #sec xcot x = csc x#? How do you prove that #cos 2x(1 + tan 2x) = 1#?
How do you simplify #(csc^2 x sec^2 x)/(sec^2 x + csc^2 x)
2015年8月13日 · # sin^2 A + cos^2 A = 1 # # (csc^2 x sec^2 x)/(sec^2 x + csc^2 x) = (1/(sin^2xcos^2 x))/(1/cos^2 x + 1/sin^2 x) = (1/(sin^2xcos^2 x))/((sin^2 x + cos^2 x)/(sin^2 x ...
How do you prove cot^2 x +csc^2 x = 2csc^2 x - 1? - Socratic
2018年3月13日 · So, #2 csc^2 x -1 = cot^2 x +csc^2x# Proved. Answer link. Related questions.
How do you differentiate f(x)=csc^2(3x ) using the chain rule ...
2018年2月11日 · How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule
How do you prove 1/sec^2 x + 1/csc^2 x =1? - Socratic
2018年3月3日 · Use reciprocal identity to transform 1/csc^2 x and 1/sec^2 x to 1/[1/ (sin^2 x)] and 1/[1/(cos^2 x)] respectively. Reciprocate sin^2 x and 1/(cos^2 x) you will get sin^2x and cos^2 x, respectively. sin^2x+cos^2x is equal to 1 by the Pythagorean Fundamental Identity.
How do you verify 2csc2x=secxcscx? - Socratic
2015年7月22日 · How do you show that #2 \sin x \cos x = \sin 2x#? is true for #(5pi)/6#? How do you prove that #sec xcot x = csc x#? How do you prove that #cos 2x(1 + tan 2x) = 1#?