Question

tan315°+cos300°/sin150°+tan135°

Answer 1

Answer:

1

Step-by-step explanation:

=(tan315+cos300) /(sin150+tan135)

=(tan315+sin(90-300))/(sin150+tan135)

=(tan315+sin(-210))/(sin150+tan135)

=(tan315-sin210)/(sin150+tan135)

As tan135 = tan315 = - 1, then

And sin210 = - 1/2 and sin150 = 1/2

Substituting values

= (-1-(-1/2))/(1/2+(-1))

=(-1+1/2)/(1/2-1)

=(-1/2)/(-1/2)

=1