What is the value of sin2 45° + cos2 45° ?

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What is the value of sin² 45° + cos² 45° ?

A-1

Answer:

Given:

sin² 45° + cos² 45°

Formula:

sin²A + cos² A = 1

Calculation:

∴ sin² 45° + cos² 45° = 1

Alternate Method

sin45° = cos 45° = 1/√2

∴ sin² 45° + cos² 45° = (1/√2)² + (1/√2)² = 1/2 + 1/2 = 1

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