Question

What is the value of tan² 30 + sin² 60 + sin⁴ 30 + cos⁴ 30 + cos² 60 +2 sin² 30 cos² 30 - sec² 30 ?

Answer 1

Answer:

Evaluate :

= sec² 30° + sin² 60° – tan² 30° + cos² 60°/ sin 60 x cos 30+ cos 60 x sin 30

= (2/√3)^2 + (√3/2)^2 - (1/√3)^2 + { (1/2)^2 /√3/2 } × √3/2 + 1/2 × 1/2

= 4/3 + 3/4 - 1/3 + 1/4 + 1/4

= 4/3 - 1/3 + 3/4 + 1/4 + 1/4

= 2/3 + 5/4

= (8 + 15)/12

= 23/12

Step-by-step explanation:

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