Question

What is the value of secant 15?

Answer 1

Answer:

secant(15 radians) =

-1.31633001272

Answer 2

Answer:

sec 15 = 1/cos 15

cos 15 = cos(45-30)

=> cos 45 cos 30 + sin 45 sin 30

=> 1/√2*√3/2 + 1/√2*1/2

=> √3/2√2 + 1/2√2

=> (√3 + 1)/2√2

=> √2(√3 + 1)/2√2*√2

=> √2(√3 + 1) /4

=> (√6 + √2)/4

therefore sec 15 = 4/√6+√2

=> 4(√6-√2)/(√6+√2)(√6-√2)

=> 4(√6-√2)/6-2

=> 4(√6-√2)/4

=> √6 - √2