12) Evaluate
cot 30°
Sec 30° tan 45°
cosec 30°
2COSO°
Sin 30
+ cos2 45°​

1 thought on “12) Evaluate<br />cot 30°<br />Sec 30° tan 45°<br />cosec 30°<br />2COSO°<br />Sin 30<br />+ cos2 45°​”

1. Answer:

   value of trigonometric expression would be zero.

   cot 30/sec 30 + cosec 30/tan 45 – 2cos 0/sin 30 + cos²45 without using trignometric tables.

   we know, cot30° = √3 , sec30° = 2/√3

   cosec30° = 2, tan45° = 1 , cos0° = 1

   sin30° = 1/2 and cos45° = 1/√2

   now, (√3)/(2/√3) + 2/1 – 2 × 1/(1/2) + (1/√2)²

   = √3 × √3/2 + 2 – 2 × 2 + 1/2

   = 3/2 + 2 – 4 + 1/2

   = (3 + 1)/2 – 2

   = 2 – 2

   = 0

   Step-by-step explanation:

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