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Solving the problems using trigonometric identities
1) If sin x = (a / √a² + b²), 0 < x < 90, find the value of tan x
a²/b²
a/b
b/a
b²/a²
1/10
Solution
Answer:
a/b
Explanation:
sin x = (a / √a² + b²)
cos x = √1 – sin²x
= √1 – (a / √ a² + b²)
= √(b² / √ a² + b²)
= b / √a² + b²
tan x = sin x / cos x
= a / b
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