Math

Use the given function value(s), and trigonometric identities(including the cofunction identities), to find the indicated trigonometric function.
sec θ = 5
a) cos θ = 1/sec θ = 1/5
b) cot θ = cos θ/sin θ =cosθ/cos(90-θ)

I did a but im stuck for b, not sure if I'm doing it right

  1. 👍
  2. 👎
  3. 👁
  1. sin^2 + cos^2 = 1

    sin = √(1 - cos^2) = √(1 - 1/25) = √(24/25) = 2√6 / 5

    cot = 1/5 / (2√6 / 5) = 1 / 2√6 = √6 / 12

    1. 👍
    2. 👎
  2. Draw right triangle ABC and label the sides so that secA = 5
    Now you can easily see that cotA = 1/√24

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trig.

    I really need help so please help. write the first trigonometric function in terms of the second trigonometric function. sec x; tan x

  2. Trigonometry help

    If sin(x) = 1/3 and sec(y) = 13/12 , where x and y lie between 0 and π/2, evaluate the expression using trigonometric identities. (Enter an exact answer.) sin(x + y)

  3. Pre-Calc

    1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 12° cos 18° − sin 12° sin 18° And Find its exact value. 2) Use an Addition or Subtraction Formula to write the

  4. Math

    Use the cofunction identities to write an expression that is equivalent to each of the following expression. a) sin(pi/6) sin=cos(pi/2 - pi/6) What do I do next?

  1. Trig

    How do you express sin4x as a trigonometric funcition of x using the identities? I think that you are supposed to start with the sine sum identity and then use the double angle identities for sin2A and cos2A, but after that I get

  2. Pre-Calc

    I am really struggling with how to do these problems, I posted them a few minutes ago but the answers/work shown was incorrect. 1) a) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of

  3. trigonometry

    An object is attached by a string to the end of a spring. When the weight is released it starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is −20 cm

  4. MATH - HELP ME PLEASE!!!!

    Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ. cot(θ) = 9

  1. math help?!

    If x = 6sinθ, use trigonometric substitution to write square root 36-x^2 as a trigonometric function of θ, where where 0

  2. maths

    Prove the following trigonometric identities (i)(1+cotx)^2 +(1-cotx)^2=2cosec^2x (ii)cos(270degrees+theta)/cos(360degrees -theta)

  3. math

    State a trigonometric ratio that is equivalent to each of the following trigonometric ratios Sin 3pie/10 Cos 6pie/7

  4. math

    sin2x-cotx = -cotxcos2x Using the various trigonometric identities(i.e. double angle formulas, power reducing formulas, half angle formulas, quotient identities, etc.) verify the identity. I first added cotx to both sides to get

You can view more similar questions or ask a new question.