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?

Finding the slant height of isosceles triangle

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? keywords: hypotenuse, pythagorean, pythagorus, theorem

Slant height of sides of isosceles triangle

Question re slant height of ski chalet 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?

10 Trigonometry Problems

1. Find B to the nearest degree in triangle ABC given A = 34 degrees, b=7.0 and a = 11. 2. How do you convert from degrees to radians. Explain and provide an example with 283 degrees. 3. The hypotenuse of a 30-60-90 triangle is 10. Find the perimeter 4. Given C= 61 degrees, a=55, and b= 29, find the area of triang ...continues

Applications of Sines : Trigonometry Word Problems

A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from A, spots the same fire at direction of 255 degrees. How far from tower Ais the fire? From tower B?

Bearings

From fire tower A, a fire with bearing N 75° E is sighted. The same fire is sighted from tower B at N 49° W. Tower B is 55 miles east of tower A. How far is it from tower A to the fire?

Applications of Trigonometry Word Problems : Cartesian Coordinates and Pythagorean Theorem

A boat leaves a port and sails 10 miles at a bearing of S 15° E. Another boat leaves the same port and sails 15 miles at a bearing of S 30° W. How far apart are the two boats at this point?

Simplifying the trigonometric expressions

a. tan(theta) / [1 - cos^2 (theta)] b. cos^2 x + cos^2 x cot^2 x c. (tan^2 x + 1) cos x