Evaluate: cosec (65 + θ ) – sec (25 – θ ) – tan (55 – θ ) + cot (35 + θ)

Question

Evaluate: cosec (65 + θ ) – sec (25 – θ ) – tan (55 – θ ) + cot (35 + θ)

Evaluate:

cosec (65 + θ ) – sec (25 – θ ) – tan (55 – θ ) + cot (35 + θ)

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

cosec (65 + θ ) = sec (90 – (65 + θ )) = sec (25 – θ )
tan (55 – θ ) = cot (90 – (55 – θ ) = cot (35 + θ )
⇒ sec (25 – θ ) – sec (25 – θ ) tan (55 – θ ) + tan (55 – θ ) = 0

4 views Answered 2023-02-05 15:29