.Findthe value of 2 (cost 60°+sin 30)(tan2 60° +cor 45°)+3sec2 300

1.	.Findthe value of 2 (cost 60°+sin 30)(tan2 60° +cor 45°)+3sec2 300
Answer» 2[ cos⁴60 + sin⁴60] - [tan²60 + cot²45] + 3sec²30 = 2 [ (1/2)⁴ + (√3/2)⁴] - [(√3)² + (1)²] + 3(2/√3)² [Putting values of cos, tan sin 60; cot 45 sec 30] = 2[ 1/16 + 9/16] - [ 3 + 1] + 3 (4/3) [ Evaluating the values] = 2[10/16] - 4 + 4 = 10/8 = 5/4 Like my answer if you find it useful!

Answer»

2[ cos⁴60 + sin⁴60] - [tan²60 + cot²45] + 3sec²30

= 2 [ (1/2)⁴ + (√3/2)⁴] - [(√3)² + (1)²] + 3(2/√3)² [Putting values of cos, tan sin 60; cot 45 sec 30]

= 2[ 1/16 + 9/16] - [ 3 + 1] + 3 (4/3) [ Evaluating the values]

= 2[10/16] - 4 + 4

= 10/8 = 5/4

Like my answer if you find it useful!

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