Pre-Calculus

posted by .

Transform the expression from the left to the right.

Tan A+ CotA to cscAsecA

  • Pre-Calculus -

    So we must transform tan(A) + cot(A) into csc(A)*sec(A).

    tan(A) + cot(A)
    Note that cot(A) is equal to 1/tan(A). Substituting,
    = tan(A) + 1/tan(A)
    = (tan^2 (A) + 1) / tan(A)
    Recall the pythagorean identity: tan^2 (A) + 1 = sec^2 (A). Also tan(A) = sin(A)/cos(A) and sec(A) = 1/cos(A). Substituting,
    = sec^2 (A) / tan(A)
    = sec^2 (A) * cos(A) / sin(A)
    = sec(A) / sin(A)
    Finally, 1/sin(A) = csc(A). Thus,
    = sec(A) * csc(A)

    Hope this helps~ :3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    transform the expression on left to one on right csc x-sin x to cot x cos x
  2. trig

    I do not understand these problems. :S I'd really appreciate the help. Use trigonometric identities to transform the left side of the equation into the right side. cot O sin O = cos O sin^2 O - cos^2O = 2sin^2 O -1 (tan O + cot O)/tan …
  3. Pre Calculus

    Pre Calculus why is sin(-20)/cos 380 equal to tan (-200)
  4. calculus

    So I am suppose to evaulate this problem y=tan^4(2x) and I am confused. my friend did this : 3 tan ^4 (2x) d sec^ 2x (2x)= 6 tan ^4 (2x) d sec^2 (2x) She says it's right but what confuses me is she deriving the 4 and made it a three?
  5. Math

    Solve the puzzle =RIGHT(LEFT($B$2,84),1) =RIGHT(LEFT($B$2,17),1) =RIGHT(LEFT($B$2,138),1) =RIGHT(LEFT($B$2,2),1) =RIGHT(LEFT($B$2,234),1) =RIGHT(LEFT($B$2,138),1) =RIGHT(LEFT($B$2,4),1) =RIGHT(LEFT($B$2,173),1) =RIGHT(LEFT($B$2,2),1) …
  6. pre calculus

    Simplify and write the trigonometric expression in terms of sine and cosine: ((2+tan^2 x)/(sec^2 x))-1 = (f(x))^2 f(x)= ?
  7. pre calculus

    Find the exact values: tan(7pi/4) - tan (pi/6)
  8. Precal

    How do i prove that left side equals right?
  9. Pre-Cal

    Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. (tan(74°)-tan(14°))/(1+tan(74°)tan(14°)) =__________ Find it's exact value (not decimal form) =__________ Note: A similar …
  10. calculus

    Find the exact value of the given expression. (tan17pi/12 - tan pi/4) / (1+tan 17pi/12 tan pi/4) can you help with this?

More Similar Questions