Maharashtra State BoardHSC Science (General) 11th
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Select the correct option from the given alternatives: If secθ = m and tanθ = n, then 1m{(m + n)+1(m + n)} is equal to - Mathematics and Statistics

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MCQ

Select the correct option from the given alternatives:

If secθ = m and tanθ = n, then `1/"m"{("m + n") + 1/(("m + n"))}` is equal to

Options

  • 2

  • mn

  • 2m

  • 2n

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Solution

2

Explanation:

`1/"m"[("m + n") + 1/(("m + n"))]`

= `1/sectheta [(sectheta + tantheta) + 1/((sectheta + tantheta))]`

= `1/sectheta(sectheta + tantheta + (sectheta - tantheta)/(sec^2theta - tan^2theta))`

= `1/sectheta(sectheta + tantheta + (sectheta - tantheta)/1)`

= `1/sectheta(2sectheta)`

= 2

Concept: Periodicity of Trigonometric Functions
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Trigonometry - 1
Miscellaneous Exercise 2 | Q I. (5) | Page 33
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