Q) Evaluate: 2 sin² 30⁰ sec 60⁰ + tan² 60⁰

Ans: We need to find the value of: 2 sin² 30⁰ sec 60⁰ + tan² 60⁰

We know that sin 30⁰ = , sec 60⁰ = 2, tan 60⁰ =  √3

by substituting these values in the given expression, we get:

2 sin² 30⁰ sec 60⁰ + tan² 60⁰

= 2 ( x 2 + (√3)²

= 2 x x 2 + 3

= + 3

= 1 + 3

= 4 ….. Answer

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