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Prove that : (Sin(90° - θ) Tan(90° - θ) Sec (90° - θ))/(Cosec θ. Cos θ. Cot θ) = 1 - Mathematics

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Question

Prove that : `(sin(90° - θ) tan(90° - θ) sec (90° - θ))/(cosec θ. cos θ. cot θ) = 1`

Sum

Solution

LHS = `(sin(90° - θ) tan(90° - θ) sec (90° - θ))/(cosec θ. cos θ. cot θ) = 1`

= `(cosec θ. cos θ. cot θ)/(cosec θ. cos θ. cot θ)`
= 1 
= RHS
Hence proved.

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Chapter 18: Trigonometry - Exercise 2

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ICSE Mathematics [English] Class 10
Chapter 18 Trigonometry
Exercise 2 | Q 19
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