Some Applications of Trigonometry

Question

Write the value of sin (65° + θ) -cos (25° - θ).

Answer

sin (65° + θ ) - cos (25° - θ)
= cos [90° - (65° + θ)] - cos (25° - θ)
= cos (90° - 65° - θ) - cos (25° - θ)
= cos (25° - θ) - cos (25° - θ) = 0.

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Some More Questions From Some Applications of Trigonometry Chapter