Question
Download Solution PDFIf 7 sinθ + 24 cosθ = 25, then what is the value of (sin θ + cos θ)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
sin2 θ + cos2 θ = 1
Calculation:
7 sinθ + 24 cosθ = 25
Dividing by 25 on both the sides, we get
We know that,
sin2 θ + cos2 θ = 1
sin θ.sin θ + cos θ.cos θ = 1 ....(ii)
On comparing equ (i) and (ii)
sin θ =
cos θ =
Now, (sinθ + cosθ)
=
=
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