In sin3theta=cos(theta-26°), where 3theta and (theta-26°) are acute angles ,then value of theta is?
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● Trigonometry ●
sin3θ = cos(θ - 26°)
=> cos(90° - 3θ) = cos(θ - 26°)
=> 90° - 3θ = θ - 26°
=> 3θ + θ = 90° + 26°
=> 4θ = 116°
=> θ = 116°/4
=> θ = 29°
sin3θ = cos(θ - 26°)
=> cos(90° - 3θ) = cos(θ - 26°)
=> 90° - 3θ = θ - 26°
=> 3θ + θ = 90° + 26°
=> 4θ = 116°
=> θ = 116°/4
=> θ = 29°
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