Limit and trigonometric equation

(See attached files for full problem description) 1. Find the limit: lim(t-->0) t^2/(1-cost) 2. solve the following trigometric equation tan(2x) = 2sin(x), where 0<=0< 360 degrees

Values of tangent (tan A) of an angle

Consider the graph of y = tan x (see attached). (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? (d) How does the graph show this?

Slant height of isosceles trinagle

A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof?

Slant height of sides of isosceles triangle

Question re slant height of ski roof - isosceles triangle, base is 14 m. Vertical angle is 36 degrees. What would slant height of sides of triangle be, i.e., side AC or side BC?

Slant height of sides of isosceles triangle

Question re slant height of ski lodge roof - isosceles triangle, base is 14 m. Vertical angle is 36 degrees. What would slant height of sides of roof (triangle) be, i.e., side AC or side BC?