Question

Hey Mathematicians !!!! please solve the above problem ....

1st CORRECT answer will be marked as brainliest..​

Answer 1

Answer:

Step-by-step explanation:

Here we will use the trigonometric identity sin²x + cos²x = 1

Given that ,

x = γ cosα sinβ

y = γ cosα cosβ

z = γ sinα

∴  x² = γ² cos²α sin²β

y² = γ² cos²α cos²β

z² = γ² sin²α

Adding all three equations,

x²+y²+z² = γ² cos²α sin²β +  γ² cos²α cos²β + γ² sin²α

or x²+y²+z² =  γ² cos²α (sin²β + cos²β) + γ² sin²α

or x²+y²+z² =  γ² cos²α  + γ² sin²α

or x²+y²+z² =  γ² (cos²α + sin²α)

or x²+y²+z² =  γ²

Hence proved.

Answer 2

hope it will help you