Question

solve this 67 number questions
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Answer 1

Remember that secx=1cosx

So 
sec330º=1cos(330º)

Remember that cos(a−b)=cos(a)cos(b)+sin(a)sin(b) and that 330º=360º−30º, so

cos(330º)=cos(360º−30º)=cos(360º)cos(30º)+sin(360º)sin(30º)

The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. We know that sin0º is 0, and that cos0º=1 so

cos(330º)=1⋅cos(30º)+0⋅sin(30º)
cos(330º)=√32

So

sec(330º)=2√3

Rationalizing,

sec(330º)=2√33



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Answer 2

The value of sec 330 is 2 root 3 .