If \( \cos \theta = \frac{12}{13} \). Find \( \theta + \cos^2 \theta \)

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

If \( \cos \theta = \frac{12}{13} \). Find \( \theta + \cos^2 \theta \)

Answer Details
Cos  θ  =  12 13
x2 + 122 = 132
x2 = 169- 144 = 25
x = 25
= 5
Hence, tan θ  =  5 12  and cos θ  =  12 13
If cos2 θ  = 1 +  1 t a n 2 θ
= 1 +  1 ( 5 ) 2 12
= 1 +  1 25 144
= 1 +  144 25
=  25 + 144 25
= 

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