Question

evaluate expression cos-5π/4 - secπ/4

Answer 1

Answer:

$\frac{1+\sqrt{2} }{\sqrt{2} }$

Step-by-step explanation:

cos-5π/4 - secπ/4         cos(-θ)=cos(θ)

cos5π/4 - secπ/4      

                           secπ/4 =  $\sqrt{2}$

                           cos5π/4 = cos(π+π/4)

                                          = -cos(π/4) = -$\frac{1}{\sqrt{2} }$

= -$\frac{1}{\sqrt{2} }$ + $\sqrt{2}$

= $\frac{1+\sqrt{2} }{\sqrt{2} }$

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