Question
Download Solution PDFThe value of (sin32° cos58° + cos32° sin 58°) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(sin32° cos58° + cos32° sin 58°)
Concept used:
\(sin(90^\circ-\theta)=cos\theta\)
\(cos(90^\circ-\theta)=sin\theta\)
\(sin^2\theta+cos^2\theta=1\)
Calculation:
sin32° cos58° + cos32° sin 58°
= sin32º sin(90°- 58°)+ cos32° cos(90°- 58°)
= sin32° sin32° + cos32° cos32°
= sin232° + cos232°
=1
The correct answer is 1.
Last updated on Jun 2, 2025
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