Question
Download Solution PDFIn ΔXYZ, right angled at Y, if sin X = \(\frac{1}{2}\), find the value of cos X cos Z + sin X sin Z.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
cos X cos Z + sin X sin Z = (cos Z - X)
Calculation:
Given that, Y = 90° and
sin X = 1/2 or X = 30°
We know that
X + Y + Z = 180°
30° + 90° + Z = 180°
Z = 60°
Therefore,
(cos Z - X) = cos (60° - 30°)
cos 30° = √3/2
∴ The correct option is 1
Last updated on Jun 13, 2025
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