Record yourself saying the following times in Spanish. Be sure to use complete sentences!1. 3:42. 3:33. 15:34. 3:05. 11:55*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but, moreimportantly, it will enhance your language ability. This activity will not count towards your grade

Heres the spelling and pronounciation

3:42- tres cuarenta y dos - trehz /cuah ren ta / ee / doz

3:33- tres treinta y tres - trehz / train ta/ ee/  trehz

15:34- quince treinta y cuatro - qeen say / train ta / ee/ quah tro

3:05- tres y cinco - trehz / ee / seen co/

11:55- once cincuenta y cinco - own seh / seen quen ta / ee/ seen co

Explanation:

Given the trigonometry expression sin⁴θ+cos⁴θ , the minimum value of the expression occurs at when θ = 0° and maximum value occurs at when θ = 90°.

From trigonometry identity;

sin²θ+cos²θ = 1

square both sides;

(sin²θ+cos²θ)² = 1²

open the parenthesis;

sin⁴θ+2sin²θcos²θ+cos⁴θ = 1

subtract 2sin²θcos²θ from both sides;

sin⁴θ+2sin²θcos²θ+cos⁴θ-2sin²θcos²θ = 1-2sin²θcos²θ

sin⁴θ+cos⁴θ = 1-2sin²θcos²θ

Since the minimum value occur at θ = 0°, substitute θ = 0° into the right hand side of the resulting expression as shown;

sin⁴θ+cos⁴θ = 1-2sin²(0)cos²(0)

sin⁴θ+cos⁴θ = 1-2(0)(1)

sin⁴θ+cos⁴θ = 1-0

sin⁴θ+cos⁴θ = 1

Hence the minimum value of sin⁴θ+cos⁴θ  is 1

For the maximum value;

Since the maximum value occur at θ = 90°, substitute θ = 90° into the right hand side of the resulting expression as shown;

sin⁴θ+cos⁴θ = 1-2sin²(90)cos²(90)

sin⁴θ+cos⁴θ = 1-2(1)(0)

sin⁴θ+cos⁴θ = 1-0

sin⁴θ+cos⁴θ = 1

Hence the maximum value of sin⁴θ+cos⁴θ  is also 1