Question

4 - sin30 + tan45 - cosec60) / (sec30 + cos60 + cos45)

Answer 1

Answer:

The value of (4 - sin30 + tan45 - cosec60) / (sec30 + cos60 + cos45) = 1.41642

Step-by-step explanation:

$\frac{4 - \sin(30) + \tan(45) - \csc(60) }{ \sec(30) + \cos(60) + \ \cos(45) }$

=

$\frac{4 - \frac{1}{2} + 1 - \frac{2}{ \sqrt{3} } }{ \frac{2}{ \sqrt{3} } + \frac{1}{2} + \frac{1}{ \sqrt{2} } }$

=

$\frac{ \frac{9}{2} - \frac{2}{ \sqrt{3} } }{ \frac{2 \sqrt{3} }{3} + \frac{1 + \sqrt{2} }{2} }$

=

$\frac{3.3453}{2.36181}$

= 1.41642

(approx.)