Prove that sin²A + cos²A = 1 | One of the most important identities of Trigonometry | Mathematics

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In this tutorial you will learn to prove one of the most important and popular identities/formulas of trigonometry:

sin²A + cos²A = 1
Mostly following text is used to search for this identity.
Prove trigonometric identity sin2A + cos2A = 1
sin^2A + cos^2A = 1

sin2x + cos2x = 1
sin²x + cos²x = 1
sin^2x + cos^2x = 1

sin2θ + cos2θ = 1
sin²θ + cos²θ = 1
sin^2θ + cos^2θ = 1

You will also learn that this is a generic result and you can prove it by using another angle of the triangle. This will help you make your concepts stronger.

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Quite understandable, thank you, appreciate your work!

Atapd
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Sir I have a doubt in this question.👇

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on:

(i) the same day?

(ii) Different days?

(iii) consecutive days?

I just have a doubt that why do we multiply 6×6 to get total outcomes. I know it's simple but I don't understand it. Kindly try to include it in your next doubt session.

OmPrakashSingh-pquv
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Quite understandable, thank you, appreciate your work!

Atapd