Question

sin²45° + cos²60° + tan²30°​

Answer 1

Step-by-step explanation:

sin 45° = 1/√2

cos 60° = 1/2

tan 30° = 1/√3

sin^2 45° + cos^2 60° + tan^2 30°

= (1/√2) ^2 + (1/2)^2 + (1/√3)^2

= ( 1×1/√2×√2) + (1×1/2×2) + (1×1/√3×√3)

= 1/2 + 1/4 + 1/3

= 1×6 + 1×3 + 1×4 = 6+3+4 = 13

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