Question

if 2cos thita +2√2=3sec thita so thita=?​

Answer 1

Step-by-step explanation:

given,

2 cos thita + 2 root 2 = 3sec thita

now,

2cos thita+ 2 root 2= 3/ cos thita

(sec thita= 1/cos thita)

transpose 2 root 2 to the RHS

2 cos thita = 3/cos thita -2 root 2

taking lcm I.e cos thita

2 cos thita = (3 - 2 root 2 cos thita)/ cos thita

transposing cos thita of rhs in denominator to lhs

2 cos^2 thita=3- 2 root 2 cos thita

now transpose all terms to the lhs

we get

2 cos ^2 thita+ 2 root 2 cos thita - 3 =0

this looks like a quadratic equation assuming x to be cos thita

now solve the equation using factorisation or quadratic formula

we get,

cos thita = 1/root2 or -3 root 2 /2

therefore thita is 45 degrees

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