In addition to water and carbon dioxide, photosynthesis a. light and chlorophyll. b. oxygen and sugars. c. sugars and light. d. chlorophyll and oxygen.

In addition to water and carbon dioxide, photosynthesis requires light and chlorophyll. The correct option among all the options that are given in the question is the first option or option "A". The other options can be negated. I hope that this is the answer that has come to your great help.

The  maximum and minimum value of sin⁴θ+cos⁴θ are 1 and 1  respectively

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