(1) Previously, the known values of the sine and cosine function that we listed around the unit circle did not include the 15° and 75° positions. Use the fact that 75 = 30 +45 and the angle addition formulas to fill that gap. How can we fill the gap at 15°?

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Consider the figure below to find angle B.

Q: 1. Find the exact value of the six trigonometric functions of the angle 0 in the figure. 3 6

A: Given figure,

Q: 5. Convert the equation r = 3 – sin 0 to rectangular form. (That means, in terms of x and y. Your…

A:

Q: Use a half-angle formula to rewrite the given expression so that it involves the sum or difference…

A: We have to rewrite inn half angle formula.

Q: If you are given the value of cosθ and want the exact value of cos(2θ), what form of the…

A: We have given the value of cosθ   We want the exact value of cos(2θ)   We have to tell what form…

Q: If the sine ratio is given, then how can sin : be determined?

A: We can calculate sinx/2 by half angle formula

Q: If sin 0 4 and 0 is in quadrant II, then cos 0

A: sinθ=45cosθ=?

Q: Find the exact value of each of the six trigonometric functions of 0, if (4,7) is a point on the…

A:

Q: 1. Suppose sin(0) =. Find the length of the hypotenuse, h:

A: GIVEN sinθ=13

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Law of sines : sin Aa = sin Bb = sin Cc Given  ∠A=38.8°,  a=182.4,  b=248.6

Q: Use a calculator to find the value of the trigonometric expression to four decimal places. sin 11°

A: given expression is sin11°

Q: Should you use Sine, Cosine, or Tangent to solve the following problem? 20° 17 Cosine Tangent Sine

A: We have to chcek

Q: The Double-angle Formula for the sine function is  sin(2θ)      _____.

A: Given :                 sin(2θ) Formula :                     sin(a+b) = sin a cos b + cos a sin b

Q: In terms of the sine of a positive acute angle, what is the expression for sin(2π/3)?

A: To find the value of sin(2π/3)

Q: hello, I know the answer for this problem, but I used a calculator and I'm not sure how to show my…

A:

Q: Use a half-angle formula to rewrite the given expression so that it involves the sum or difference…

A: Topic: trigonometry

Q: What is the formula for sin 2A?

A: Consider the provided expression, sin2A Write the formula of the expression, We can write as,…

Q: alues of the sine and cosine functions for 20

A:

Q: 12. If the sine ratio is given, then how can sin be determined?

A: The question says if sine ratio is given, then how can sinθ2 be determined.

Q: If cose =- and 0 is in Quadrant II, find the exact value of sin20 %3D 3.

A:

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1 ?

A: Substitute the angles in the given: sin(θ)+cos(θ)=1 Option 1: θ=0: Sin(0)+cos(0)=0+1=1 Option 2:…

Q: The difference formula for the sine function is sin(A-B)=....................

A: Given: sinA-B=......... To Find: The difference formula for the given function

Q: For this question, how would I solve for the SINE of theta, and the COS of theta for this particular…

A:

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

A:

Q: The​ equation, with a restriction on​ x, is the terminal side of an angle θ in standard position.…

A: Equation is , 3x + y = 0

Q: If the sine ratio is given, then how can sin be determined?

A:

Q: exact

A: Given sinA=(3)/(5) and cosB=(12)/(13)  both are lie  in quadrant 1 To find the exact value of…

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: we have been given a triangle ABC, in which ∠A=36.3° , a=186.2 and b=246.1 we have to solve the…

Q: New Give the answer to the trig function and the quadrant where the angle terminates. sin- 6. -

A:

Q: Solve. 3 -and that the terminal side is in quadrant II, find sec e. Given that sin 0 %3D

A: cosine and sec in second quadrant is negative .

Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  & its identity

Q: 15) In right ABYE, ZY is a right angle. Cos(B) is . What is sine of ZE?

A: Sin E=Opposite/hypotenuse  Cos B=Adjacent/hypotenuse

Q: Find the quadrant in which 0 lies from the information given. sin(0) < 0 and cos(0) < 0

A: By checking the values of trigonometric functions in quadrant we can conclude the following data.

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Topic:- trigonometry ratios and laws in triangle

Q: A student is overheard saying: "I don't need to learn the Primary Trig Ratios. I am just going to…

A: Here we will compare the formula for both the trigonometric ratio and sine cosine rule. The problem…

Q: Make sure your answer is in degrees. You should be able to find this without a calculator. cos-1(cos…

A: We know that arccos(cos x) = x Where x belongs to (0,π) Here angle is below 180°. So,the definition…

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A:

Q: 4. Why is a SSA ambiguous? Think about the range for y = sin¬1 x. Can the inverse sine ever return…

A:

Q: If you know the sine value for a given angle, how can you quickly find the cosecant value for that…

A: See attached file for a detailed explanation and I also give an example so you can easily…

Q: Is there any serious difference between 5pi/3 and -pi/3? I had an online homework question that…

A: Graph of sine function Period of sine function is 2π because it repeats itself after an interval of…

Q: Find the exact value of each of the remaining trigonometric functions of θ.   sinθ=4/5, θ in…

A:

Q: Find the exact values of the sine, cosine, and tangent of the angle. 12 3 -1 sin (- ) 2 2 12 1- 3…

A: Let us consider

Q: If we know the value of cos x and the quadrant in which x/2 lies, we can find the value of sin1x/22…

A: If we know the value of cos x and the quadrant in which x/2 lies, we can find the value of sin(x/2)…

Q: Although I can use an isosceles right triangle to determine the exact value of sin π/4 , I can also…

A:

Q: 7. If sin 0 and 0 is in the first quadrant, find cos 20. %3D

A: The solution is given below:

Q: 8) Suppose the terminal arm for the angle 0 passes through the point (-4, 2). Find the exact values…

A: Solve the following

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Using sine law.

Q: 4. Why is a SSA ambiguous? Think about the range for y = sin−1 ?. Can the inverse sine ever return…

A:

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Explained below

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.