Hello! I need to verify this identity. Can you explain with all the steps? Thanks.

Both sides =  

Step-by-step explanation:

Let us revise some identity

sin(∝ + a) = sin(∝) cos(a) + cos(∝) sin(a)

cos(∝ + a) = cos(∝) cos(a) - sin(∝) sin(a)

tan ∝ =

Let us simplify each side

Left hand side

∵  ⇒ (1)

∵ ⇒ (2)

∵ and  

- Substitute them in (2)

∴

∴

- Take as a common factor

∴ ⇒ (3)

∵ ⇒ (4)

∵ and  

- Substitute them in (4)

∴

∴

- Take as a common factor

∴ ⇒ (5)

Substitute (3) and (5) in (1)

∴  

- Simplify it by divide up and down by

∴

∴ Left hand side =

Right hand side

Right hand side =    ⇒ (1)

∵ ⇒ (2)

∵ and  

- Substitute them in (2)

∴

∴

- Take as a common factor

∴ ⇒ (3)

∵ ⇒ (4)

∵ and  

- Substitute them in (4)

∴

- Take as a common factor

∴ ⇒ (5)

Substitute (3) and (5) in (1)

∴     =  

- Simplify it by divide up and down by

∴     =  

∴ Right hand side =

∵ cos∝ + sin∝ = sin∝ + cos∝

∴ Left hand side = Right hand side

∴ The identity is verified

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

answer:   y=2x-3

step-by-step explanation: