Bridge Course Trigonometry

Bridge Course Mathematics

Dr. Dhaval Thakkar

Multiple Select

Which of the following is right angled triangle?

Multiple Choice

In Right Angled Triangle ABC if AB=a, BC=b and hypotenuse AC=c then

• $a^2+b^2=c^2$

• $a^2+c^2=b^2$

• $a^2+b^2+c^2=0$

• $a^2-b^2=c^2$

Multiple Select

In right triangle if Opposite side is a, Adjacent side is b and hypotenuse is c then  $\sin\left(\theta\right)=$  

•  $\frac{a}{b}$  

•  $\frac{a}{c}$  

•  $\frac{b}{c}$  

•  $\frac{b}{a}$  

Multiple Select

 $\cos\left(\theta\right)=........$ ( if Opposite side is a, Adjacent side is b and hypotenuse is c )

•  $\frac{a}{b}$  

•  $\frac{a}{c}$  

•  $\frac{b}{c}$  

•  $\frac{b}{a}$  

Multiple Select

 $\tan\left(\theta\right)=........$ ( if Opposite side is a, Adjacent side is b and hypotenuse is c )

•  $\frac{a}{b}$  

•  $\frac{a}{c}$  

•  $\frac{b}{c}$  

•  $\frac{b}{a}$  

Multiple Choice

Solve for x.

• 24.20

• 4.92

• 290.4

• 29.75

Multiple Choice

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

Multiple Choice

Solve for the misssing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

Multiple Choice

Please select the correct solution tan ² x - sec ² x =

• sec ² x - 1

• -1

• 1

• 1 - csc ² x

Multiple Choice

Simplify. (secx-1)(secx+1)

• tan²x
• sinx
• cot²x
• cosx

Multiple Choice

Simplify.

• sin x
• cos x
• tan x
• 1

Multiple Choice

Simplify.

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Multiple Choice

Simplify.

• sinθ
• cot²θ
• tan²θ
• cos²θ

Multiple Choice

Simplify.

• csc²θ
• sec²θ
• cscθ
• 1

Multiple Choice

Simplify.

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Multiple Choice

Unit Circle is

• A circle with radius 3

• A triangle that measures 1 cm

• A triangle with radius 1

• A circle with radius 1

Multiple Choice

Convert to radians 390 degrees

Multiple Choice

Convert to degrees

• 270 degrees

• 230 degrees

• 185 degrees

• 460 degrees

Multiple Choice

Solve for the missing angle.

• 50.5 degrees
• 12.7 degrees
• 36.9 degrees
• 72.2 degrees

Multiple Choice

Solve for the missing angle

• 32°
• 44°
• 61°
• 50°

Multiple Choice

Which scenario describes the picture shown?

• A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
• A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
• An 8 foot ramp leans
  against a building 5 feet away.  What angle does the ramp make with the ground?
• A 5 foot man is 8 feet away from a building.  What is the angle of elevation?

Multiple Choice

Find side AB?

• 20 m

• 5 m

• 11.54 m

• 8.66 m

Multiple Choice

What is the correct equation to solve for x ?

• tan (58) = x/11

• tan (58) = 11/x

• cos (58) = x/11

• sin (58) = x/11

Multiple Choice

What is the correct equation to solve for x ?

• tan( 46 ) = 17/x

• sin ( 46 ) = x/17

• tan (46 ) = x/17

• cos (46) = x/17

Multiple Choice

What is the correct ratio?

• 7/24

• 24/7

• 7/25

• 24/25

Multiple Choice

What is the correct ratio?

• 9/41

• 40/41

• 9/40

• 40/9