Trigonometry Answers

Solve for θ to the nearest hundredth, where 0 ≤ x ≤ 2π. a) 3 tan2 θ – 2 tan θ = 1

Find the exact value of the sum and cosine functions if angle θ is in standard position with the given coordinates of the terminal side.

1.) (3,4)

2.) (-2,2)

Angle θ is in standard position and lies in the given quadrant. When sin and cos θ is given, find the exact value of sin θ and cos θ.

1.) sin θ =½ ; Q1

2.) cos θ= -⅚; Q11

given sin x = 3/5 and cos y = -4/5 , x is an acute angle and y is and obtuse angle . find :

a)cot a + cos ec y

b)sin 2x + tan 2y

solve the following equation for 0<x<360

a) 6cos² x + sin x - 4

b)9 tan x + tan² x = 5 sec² x - 3

You were playing fetch with your dog and accidentally 

threw the toy and it got stuck on the roof of your 

house. You leaned the ladder against your house at a 

30° angle of elevation. The foot of the ladder is 7 feet 

from the foot of the house. How long is your ladder? 

Find the other angle and sides of the triangle:

1. Right triangle ABC with angle b=38° of side a=14 cm.
2. Obtuse triangle DEF with sides d=12, e=16.3 cm, f=13.5 cm

Find the Tangent and Normal line to the given curve. y=√(16+x^2) at the origin.

A 100 foot wire is extended from the ground to the top of a 60 foot pole, whish is perpendicular to the level ground. Find to the nearest degree, the measure of the angle that the wire makes with the ground.

f(x) = 6 arcsin square root 1-x