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Evaluate: Cosec (65 + θ) – Sec (25 – θ) – Tan (55 – θ) + Cot (35 + θ) - CBSE Class 10 - Mathematics

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Question

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

Solution

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

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Solution Evaluate: Cosec (65 + θ) – Sec (25 – θ) – Tan (55 – θ) + Cot (35 + θ) Concept: Trigonometric Ratios of Some Specific Angles.
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