15. Find the exact value of each expression. a) sin 8° cos 22° + cos 8º sin 22° b) sin 75°

Q: What is the value of sin 30°cos 60° + cos 30°sin 60°? 0 O A. O B. O C. O D. 1 NIT 2 1 2

A:

Q: Find the exact value of the expression. 15 cos tan 8 12 Cos 13

A: Given expression costan-1158-cos-11213. The objective is to find the exact value of the expression.

Q: 22) For angle O of the right triangle below: sin 13 CoS tan 12 sec CSC cot

A:

Q: 4. An angle 0 drawn in standard position terminates in the second quadrant. If sin 0 = -, then which…

A: Here we have, and is lies on second quadrant.

Q: Use the sine of the sum of two angles formula to find the exact value of sin(105°) O I+V3 2/2 O 2+v6…

A: We have to find angle

Q: 2) Use double-angle formulas to help you prove the identity below. sin (20) 1+ cos (20) tan 0

A: The main objective of the question is to prove RHS = LHS by using double angle formula.

Q: 5 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and fin 13 sin 2 а.

A:

Q: 2. Use identities to simplify each expression to a single trigonometrie number. cot 0 b. Csc 0 a.…

A:

Q: Determine the exact value of sin 160° cos 35° – sin 75° cos 55°. -

A: Given information: sin160cos35-sin(75)cos(55)

Q: Evaluate, using the tables if necessary. (sin 30•)2 . cos 180° + tan 0 - cot (-45). 3/4 5/4

A: To find: sin 30°2·cos 180° + tan 0° - cot-45°

Q: Which is equal to sin 36°? sin 54° B) sin 64° Cos 54°

A:

Q: As long as it is defined, the expression cot 0 sec 0 sin 0 is equal to (tan 0)2 (csc 0)? O 1 (cos…

A:

Q: show complete solution Given sin β=5/13 in QII, find the exact value of the following: a. sin (2β)…

A:

Q: 15. Use Double- or Half-Angle Formulas to solve in the interval [0, 2n). 2 sin? 0 = 2 + cos 20

A:

Q: 4. Use a half-angle formula to find the exact value of sin 22.5°

A:

Q: 3) Use the sum, difference, double or half-angle formulas to find the exact value of cos(sin-1+…

A:

Q: If the terminal side of 6 contains the point (6, 8), what is the exact value of sin (8 – )? 7/2 10…

A: We know that if the point in the angle's terminal side is P=(x,y) then sin(bita)=y/r and…

Q: 2. In this triangle, what is equivalent to cos A? cos B sin(90-B) O sin A sin(90-A)

A:

Q: Find the exact value of cos(155°)cos(35°) + sin(155°)sin(35°). O A. -2

A: cos155ocos350+sin1550sin350 =?

Q: Find the exact value of 23л sin 30 17 237 17 COS + cos sin 30 30 30

A: Let's find.

Q: If tant=−43 and 3 π2 <t< 2 π, find sin t, cos t, sec t, csc t, cot t. enter the exact answers.

A: This question can be solved using the concepts of trigonometry.

Q: Verify the identity csc (20)- sin (20) cot (20) COS co (20)

A: We have to check

Q: . Find the exact value of sin 15°.Hint: 15° = 45° - 30°

A: To find the value of: sin150 Solution: We know, sin(A-B)=sinAcosB-cosAsinB     ..(1)sin45o=cos450=22…

Q: If csc(x)=3,for 90∘  &lt;x&lt;180∘,then: sin (x/2)= cos (x/2)= tan (x/2)=   Use a half angle formula…

A: Given function is

Q: 1-cos(7A) Which is the simplified form of the expression sin(7A) O cot (플) CoS O no correct answer…

A:

Q: 9. Use a half-angle identity to evaluate exactly sin(112.5°)

A:

Q: 46. What are the advantages to using the formula a_1- cosa tan 2 sina or tan as opposed to sina 1 +…

A: To obtain the formula for the tan half-angle, write tan x as sin xcos x and then substitute the…

Q: 19) Use the Half-angle Formulas to find the exact value of each expressior tan 22.5°

A:

Q: cos 등 O sin O sin cos 꽃

A: cosπ3

Q: 3. Find the exact value of the expression using reference triangles. sin (csc-15 Cos-

A:

Q: The value of Sin 4400 is equal to

A: Given,             sin(440°)

Q: 10. The expression sin (32) cos (22) - cos (32) sin (22) is equal to

A:

Q: Give exact values for sin 30°, cos 30°, sin 60°, and cos 60°.

A: We have to write the exact values of given trigonometry terms

Q: Show complete solution Given sin B = 5/13 in QII, find the exact value of the following: a. sin…

A:

Q: 2. Which is the equivalent reciprocal of cot 75°? cos 75° O tan 75° cos 75° tan 75°

A: Given that cot75°solution : we know that tanθcotθ=1cotθ=1tanθso,cot75°=1tan75°

Q: Show that,  sinc(0)= Sa(0) = 1 ?

A: The Taylor function of sinc function can be obtain from sine in following form:…

Q: Express as a sum or difference.2 sin 9 θ cos 3 θ

A: Given,           2sin9θcos3θ

Q: (c) Under the assumption that x = tan 0 3 sec 0, use an appropriate right triangle to tan3 + 3…

A:

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(30) cos(0) – cos(30) sin(0) %3D…

A: Given equation is sin3θcosθ-cos3θsinθ=12. Note that, the difference formula of sine is…

Q: 7. Which expression equals 0? cot? 24° – tan? 24° O cot 24° – sin 24 cos 24 cot? 24° – csc² 24° O…

A: Change cosθ/sin θ in terms of cot θ.

Q: Determine an exact value for the expression and include a complete solution sin 150° cos 240° – cos…

A: We use Trigonometry formula sin(A+B) = sin(A)cos(B)-cos(A)sin(B)  sin(-x) = -sin(x)

Q: Determine the exact value of cos 45° x tan 60° sin 30°

A: We know, cos(45∘) = 12 ,sin(30∘) = 12 , and  tan(60∘) = 3

Q: Use exact values to show that the following is true. cos 120° = cos? 60° – sin?

A: We know that Therefore, we have

Q: 9. and cot o If tan 0 find the exact value of sin(0- p). 71

A: The sine (sin) of an acute angle in a right triangle is the ratio of the side opposite of the…

Q: If Sin 04 and Cos a =B, evalute witheut using the It Sin Oo4 and Cos a = B , evalute without 13 the…

A: Explanation of the answer is as follows

Q: If sin e- and 0 ses-, find the exact value of tan 20. 24 24 7. 314

A: Given that the angle is in the first quadrant. Hence, all the trigonometric functions will be…

Q: 1) use reference angle to find the exact value of tan 7/4 ,  sin 300 degree

A:

Q: Use exact values to show that the following is true. sin 60° = 2 sin 30° cos 30°

A: We have to show

Q: 4. Use a half-angle identity to find the exact value of each expression. a. sin (165°) b. tan 157.5°…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.