Multiple choice

sin$75^{\circ}+sec 75^{\circ}$ can be expressed in terms of angles between $0^{\circ}$ and $45^{\circ}$

  1. $sin 15^{\circ}+sec 15^{\circ}$
  2. $cos 15^{\circ}+sec 15^{\circ}$
  3. $cos 15^{\circ}+cosec 15^{\circ}$
  4. $sin 15^{\circ}+ cosec 15^{\circ}$
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C Correct answer
Explanation

sin(75) = cos(15) and sec(75) = cosec(15). Therefore, sin(75) + sec(75) = cos(15) + cosec(15).

AI explanation

Using the co-function identities for complementary angles, sin(75 degrees) equals cos(15 degrees). Similarly, sec(75 degrees) equals cosec(15 degrees). By substituting these equivalent values into the original expression, sin(75 degrees) + sec(75 degrees) becomes cos(15 degrees) + cosec(15 degrees).

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