Question

evaluate cos^2 30° + sin^2 45° - 1/3 tan^2 60​

Answer 1

Step-by-step explanation:

We know that

sin 60 = √3/2

cos 45 = 1/√2

tan 30 = 1/√3

∴ Formula = sin²60 - cos²45 + 3 tan²30

= (√3/2)² - (1/√2)² + 3 (1√3)²

= 3/4 - 1/2 + 3 (1/3)

= 3/4 - 1/2 + 1

= (3 - 2 + 4 )/4

= 5/4

hope it will help u........

Answer 2

Answer:

(root 3/2)^2 +(1/root 2)^2 - 1/3× (root 3)^2

=3/4+1/2-1/3×3

=5/4-1/1

=1/4

Step-by-step explanation:

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