If sec2 \(\theta\) + tan2 \(\theta\) = 3, then the angle \(\theta\) is equal to
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option B
Explanation:
sec2 \(\theta\) + tan2 \(\theta\) = 3
but tan2 \(\theta\) = 1 + sec2 \(\theta\)
1 + tan2 \(\theta\) + tan2 \(\theta\) = 3
2 tan2 \(\theta\) = 2
tan2 \(\theta\) = 1
but \(\theta\) = 45o
tan2 45o = 12
= 1
\(\theta\) = 45o
sec2 \(\theta\) + tan2 \(\theta\) = 3
but tan2 \(\theta\) = 1 + sec2 \(\theta\)
1 + tan2 \(\theta\) + tan2 \(\theta\) = 3
2 tan2 \(\theta\) = 2
tan2 \(\theta\) = 1
but \(\theta\) = 45o
tan2 45o = 12
= 1
\(\theta\) = 45o