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Question
Evaluate the following:
`(sec 48^circ)/("cosec" 42^circ)`
Evaluate
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Solution
Given: `(sec 48^circ)/("cosec" 42^circ)`
48° = 90° – 42°
So, sec 48° = sec (90° – 42°)
= `1/cos(90^circ - 42^circ)`
= `1/(sin 42^circ)`
= cosec 42°
Therefore, `(sec 48^circ)/("cosec" 42^circ)`
= `("cosec" 42^circ)/("cosec" 42^circ)`
= 1
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Chapter 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [Page 380]
