For the glven trig expression: a) Delermine where the angle terminates h) Determine the reference angie C) Give the exact value. sin 225= Terminates in Quacrant Reference angle sin 225 =

Q: A simple sundial has a gnomon 10 cm high. Suppose the angle of the sun with respect to the gnomon…

A: (a) Look at the following figure of the sundial: Using trigonometric ratios, the expression for the…

Q: 3ased degrees, the picture below, Findd the angle ○へ Correer two decimal plaees,

A: r1=4 , r2=2 using formulasin θ2=r1-r2r1+r2

Q: 2. Write the expression in terms of cosine. (Check that the values are equal on your calculator) a)…

A: 2. Using the trigonomteric identity, sin(θ)=cos(90°-θ)   a) sin(37°)=cos(90°-37°) sin(37°)=cos(53°)…

Q: 6. Marco rides 10 km north of his home on his mountain bike. He reaches an abandoned railroad, turns…

A:

Q: 5. Suppose tan & = 3. a) Find tan 20. d) What two quadrants might be in? b) Find cot .e) Find…

A:

Q: 7.) Write in exact trigonometric form: -9 + 12i

A:

Q: Simplify: tan u+tan 4u 1-tan utan4u A. cot 5u B. sin 5u C. cos 5u D. tan 5u O A O B O D

A: solution:-using trigonometry identitytan(A+B)=tanA+tanB1-tanA tanBput A=u and B=4utanA+tanB1-tanA…

Q: Find the quadrant of the terminal side and the coordinates of the trigonometric point associated…

A: Theta= -135°We have to find quadrant and coordinates

Q: a) In an acute triangle, to determine (i) the size of an angle, when given sides, use the Law. (ii)…

A: Fill in the blanks related to the sine and cosine rule do calculating angles and length of the sides…

Q: a) Evaluate sin(300°). b) Draw the angles 150°, 300°, and 600° onto the same unit circle. c) Use the…

A: a.sin300° =sin360°-60°=-sin60°=-32sin360°-θ=-sinθc. sin150°=sin2×75°=2sin75°cos75°…

Q: Which angle is co-terminal with A in standard position if Angle A = -349°?

A:

Q: State which trigonometric ratio should be used to find the measure of angle A. Give reasons. (

A: State which trigonometric ratio should be used to find the measure of angle A

Q: Find the exact values (no decimals) of the trig functions for the given angles: sin = cos 330° tan…

A: sin7π/6=-1/2 cos330°=0.866025404~1

Q: 19. a) Convert 330° to radian measure. (Leave the answ in terms of 7 or round it to the nearest…

A: (19). (a). Convert to radian measure.

Q: Without using a calculator, complete each statement with one of the symbols , or =. 21.) sin 40° sin…

A: 21. We know that sin function increase from -90o to 90o. Therefore sin 40° > sin 30°

Q: c) Find the value of: sin )

A: To find the value of sin23π8.

Q: Fór each of the following trig expressions write an equivalent trig expression. a) sin 210° b)…

A:

Q: 5. Determine any three positive angles that are co-terminal with 150°.

A:

Q: a V2

A: In the given right triangle  adjacent = 1 Opposite = a Hypotenuse = 2

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.