In Problems 1–6, find the exact value of each expression. 1. sin 195° . cos 75° 2. cos 285° . cos 195° 3. sin 285° . sin 75° 4. sin 75° + sin 15° 5. cos 255° - cos 195° 6. sin 255° - sin 15°

Q: In Problems 17–24, express each sum or difference as a product of sines and/or cosines.

A: Express each sum or difference of the following:17. sin 4θ-sin 2θ18. sin 4θ+sin 2θ19. cos 2θ+cos…

Q: If tan 0 = -2, then tan 20 is equal to %3D O 4 3 O -4 O 5 4 O -3 4

A:

Q: 1 cos 40 2

A: cos4θ=-12, 0≤ θ<2π4θ=2π3+2πn, 4θ=4π3+2πnθ=π6+πn2, θ=π3+πn2Solutions for the range 0≤ θ<2πθ=π6,…

Q: 19 If x= cos 30 and y = sin 30 , then O a.-3 cot 30 O b. 3 tan 30 O C.-3 tan 30 o d.- cot 30

A: We have to find the differentiation like in the parametric form of differentiation . We have the…

Q: each expression. In Problems 14. sin 105° 15. tan 15° 5T 17. sin 12 \ Li cos 165° 18. sin 12 16. tan…

A:

Q: In Problems 76–80, use a calculator to find an approximate value for each expression, rounded to two…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 13. Suppose sin n° = 15: Find cos nº and tan n° without using a table or calculator. 13

A: Given: sin n°=513. To find: cos n° and tan n°. Solution: We have given sin n°=513. We know that,…

Q: In Problems 1–8, find the exact value of each expression. Do not use a calculator.

A: Note: According to the guidelines only three parts will be answered please upload other parts…

Q: In Problems 3–5, find the exact value of each expression. Do not use a calculator. 3. cos 62° - sin…

A: The given expressions are the trigonometric expressions hence the trigonometric identities help to…

Q: In Problems 21–30, find the exact value. Do not use a calculator. 117 25. csc 117 21. sin 22. cos…

A: We have to find the exact value of trigonometric function: 21.  sin 11π222.  cos7π23.  tan6π We know…

Q: If e = then sin(0) = cos(8) =

A:

Q: 5) Find the exact value of sin 80° cos 290°- cos 80° sin 290°

A:

Q: sec 30°cos 60° =

A:

Q: In Problems 75-86, find the exact value of each expression. 75. sin sin V3 + cos 2 - + cos 76. sin…

A: 79.  costan-143+cos-1513Using cos(A+B)=cosAcosB-sinAsinB we…

Q: In Problems 31–46, find the exact value of each expression. Do not use a calculator. 31. sin 45° +…

A: 35). To find the exact value of sin45°cos45°. Solution: We know that, sin45°=12 and cos45°=12…

Q: 87 cos e de 4 O 0 O 6

A:

Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

Q: 7. Use your calculator to find the trigonometric ratios sin 79°, cos 47°, and tan 77°. Round to the…

A: We used calculator to find these ratios as given in the question.

Q: If COS 0 = √√3 2 ო sino = 9=1/1/21 FIN O sin0 = 1/14 2 O sin0 ine=-2/2 O sine= 11/13 2 == and < 0<-…

A: topic- trigonometric ratios

Q: Find the exact value of the expression. 1. cos 10° cos 50° - sin 10° sin 50° 2. sin 15° cos 45° +…

A:

Q: In Problems 11-26, find the exact value of each expression. 11. sin0 14. cos(-1) 12. cos 1 13. sin…

A: 13. sin-1(-1) 19. tan-13

Q: In problems #9-11, perform the indicated operations. 9. 4(cosl.3+ isin 1.3)-7(cos1+ isin 1) (a)…

A:

Q: In Problems 25-42, establish each identity. sin 0 + sin (30) 25. 2 sin (20) cos 8 + cos (30) 26. sin…

A:

Q: Problem 1: Evaluate (cos 20+i sin 20)² (cos 30+i sin 30)2 (cos 40+i sin 40)(cos 60+i sin 60) 3

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 5 In right triangle DEF, if mLF = 90 and cos E = sin D is equal to

A:

Q: Find the exact value of the expression. sin 25° cos 35° + cos 25° sin 35° O 1 O 5 12

A:

Q: Cos n/4 Cos 7T/4= 111/111 Problem Answer sin 30 Cos 270° sin tan COs cos (-135) sin tan sin(-30)

A:

Q: QUESTION 2 Show that tan(tan 1 + tan 6. MOUTMOL %3D 17 UTMOUTMOUTMOUTY

A:

Q: 34. If cos e Find tan O. 2. N/3

A:

Q: 5 2. In right triangle ABC, mzB = 90°. If tan C = 12 find sin A

A: Trigonometry Right angled triangle problem

Q: 40. tan(cos 4

A:

Q: 7) 300° Pos Neg Sin Cos

A:

Q: In Problems 7-12, find the exact value of each expression. 7. sin 6. 37 cos 4 8. cos 9. cos(-120°)…

A: 7. sinπ68. cos-5π4-cos3π49. cos(-120°)10. tan 330°11. sinπ2-tan19π412. 2sin260°-3cos45°

Q: 4/1 र 49. tan sin \ 51. se tun":) 50. tan cos 51. sec tan 52. cos sin 53. cot sin 54. csc( tan (-2)]…

A:

Q: Example 1: Find the following values. Round your answer to the nearest thousandth. 1. Sin 70° = 2.…

A:

Q: 4. 4. Use a scientific calculator to approximate in decimal degrees and follow significant figures…

A:

Q: 55. tan e= sin e 0 gnibnsiz In Problems 59-76, use the even-odd properties to find the exact value…

A: To find- Values of the given trigonometric function.

Q: For all real numbers x,* cos(1339x) cos(1337x)+ sin(1337x) sin(1339x) =? 1- 2 sin? x cos x – sin? x…

A:

Q: An expression that can be obtained from 4 sin 20 cos 20 + 13 sin 20 cos 20 cos 20

A: Given,            The expression is 4sin2θcos2θ+5cos2θ=13sin2θcos2θ.To find : The another expression…

Q: Sam) sin |cos dx O32 coss 35 -5cos? + C 32 cos 32 cos + C 4 7 5 32 cos 35 5sin? +2+ C O 32 7( x), 32…

A:

Q: Question 7: Find values of x if 12 al l2x

A: Introduction :

Q: Use sum and difference formulas to identify the correct way to set up the following problem: cos 165…

A: Explanation:   Given that,  cos165∘     Formula used: Here sum formula of cos is:…

Q: 4 1. Find the value of (icos-+ sin TT sin-) 8.

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx and x terminates in quadrant III. 1/2

A: NOTE: Refresh your page if you can't see any equations. . and the angle is in the third quadrant…

Q: In Problems 11-26, find the exact value of each expression. 11. sin0 14. cos (-1) 12. cos 1 sin (-1)…

A: 49) tan-1tanπ2=tan-1∞=undefined

Q: If cos 0 = and 0 is acute, then cos 20 is

A:

Q: 1.2 Simplify WITHOUT the use of a calculator sin 120cosz10ian 315.cos27" sin 63" cas 540"

A:

Q: 16. If 180° <0 <270° and cos (0) = then determine the exact values of sin(0) and tan(0).

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx= and x terminates in quadrant III. 3

A: In order to solve this kind of questions we need the following concepts:…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.