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Question
Evaluate the following:
`(tan 55^circ)/(cot 35^circ)`
Evaluate
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Solution
Given: `(tan 55^circ)/(cot 35^circ)`
Step-wise calculation:
1. Use the complementary-angle identity cot (90° – θ) = tan θ.
So, cot 35° = tan (90° – 35°)
= tan 55°
2. Therefore, `(tan 55^circ)/(cot 35^circ)`
= `(tan 55^circ)/(tan 55^circ)`
= 1
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Chapter 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [Page 380]
