Evaluate: 8 sec² 45° + 20 sin 230° + 15 tan 45°
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 36.
⇒ 8 sec² 45° + 20 sin 230° + 15 tan 45°
From the trigonometric ratios table
We know that
sec 45 = √2
sin 30° = 1/2
tan 45° = 1
⇒ 8 sec2 45° + 20 sin 2 30° + 15 tan 45°
⇒ 8 × (√2)2 + 20 × 1/4 + 15
⇒ 8 × 2 + 5 + 15
⇒ 16 + 5 + 15 = 36