Tan ( theta + 20 ) = cot theta, find theta
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tan ( ϴ + 20 ) = cot ϴ
tan ( ϴ + 20 ) = tan ( 90 - ϴ ) { because tan (90° - ϴ) = cot ϴ }
On comparing,
ϴ + 20 = 90 - ϴ
2 ϴ = 90° - 20°
ϴ = 70/2
ϴ = 35°
Answer: ϴ = 35°
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Answer:
tan ( ϴ + 20 ) = cot ϴ......................1
tan ( ϴ + 20 ) = tan ( 90 - ϴ ) { because tan (90° - ϴ) = cot ϴ }
On comparing,
ϴ + 20 = 90 - ϴ
2 ϴ = 90° - 20°
ϴ = 70/2
ϴ = 35°
Putting theta=35 degree in eq 1
Tan (35+25)=cot60 degree
Hope it helps you
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