if theta = 45degree , then find the value of 2cosec square theta + 3sec square theta

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Question

if theta = 45degree , then find the value of 2cosec square theta +
3sec square theta

Ashutosh Verma · Accepted Answer

Answer :

Given : θ = 45°

To find value of
2 Cosec 2 θ + 3 Sec 2 θ
, We substitute θ = 45° and get

⇒2 Cosec 245° + 3 Sec 2 45°⇒2  22 + 3  22                     (  We know Cosec  45° = Sec  45° = 2 )⇒2 × 2  + 3 × 2 ⇒ 4  +6 ⇒ 10                                            ( Ans )