If sin x = 3/5 and x is acute, find the value of (2tan x + sec x).
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Correct answer: B
Explanation
Has been given :
sin x = 3/5 (x acute angle)
According to the formula:
sin x = P/H
cos x = B/H
tan x = P/B
sec x = 1/cos x
sin x = 3/5
P = 3, H = 5
B = √(5² − 3²)
= √(25 − 9)
= 4
tan x = 3/4
sec x = 5/4
2 tan x + sec x
= 2 × (3/4) + 5/4
= 6/4 + 5/4
= 11/4