English

Statement (1): If 4 cos A = 3, sec A = 4/3. Statement (2): 4 cos A = 3 ⇒ cos A = 3/4 and sec A = 1/(cos A) = 4/3.

Advertisements
Advertisements

Question

Statement (1): If 4 cos A = 3, sec A = `4/3`.

Statement (2): 4 cos A = 3 ⇒ cos A = `3/4` and sec A = `1/(cos A) = 4/3`.

Options

  • Both the statements are true.

  • Both the statements are false.

  • Statement 1 is true, and statement 2 is false.

  • Statement 1 is false, and statement 2 is true.

MCQ
Advertisements

Solution

Both the statements are true.

Explanation:

From  4 cos A = 3, cos A = `3/4` sec A = `4/3`. Since sec A = `1/(cos A)`, sec A = `4/3`. Thus both statements are algebraically correct for any A where cos A is defined.

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - TEST YOURSELF [Page 335]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
TEST YOURSELF | Q 1. (f) | Page 335
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×