1. An equation is called an identity if it is valid for . values of the variable. The equation 2x = x + x is an alge- braic identity, and the equation sin²x + cosx a trigonometric identity. is

Q: Find the exact value of cos θ​, given that sin θ=12/13 and θ, is in quadrant II. Rationalize…

A: In quadrant II, cos θ is negative.

Q: If Sin(A)=Cos(3A) then Cot(4A)

A: Given  Sin A=Cos 3A To evaluate Cot 4A=?

Q: Given that sin(0)= TT 3 and 2 <0<π what is the exact value of cos(20)?

A:

Q: If cos 0 2. and 0 is in Quadrant III, then sin 0 is equivalent to 4 (1) -7 (2) V7 (3) - 4 4 (4) 등 4

A:

Q: 5 Let 8 be an angle in quadrant II such that tan0 = -- 12 Find the exact values of cos 0 and csc 0.…

A: topic- trigonometric ratios

Q: If sin θ = a and cos θ = b, represent each of the following in terms of a and b. a. sin(-θ) +…

A:

Q: 1 and x is in quadrant I, then cos(90° - x) = 8 1. If sin x=-

A:

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

A:

Q: 2. Find sin 0 and tan 0 if cos O = 3 and Ois in quadrant III. Use exact answers.

A: Given that  costheta =-3/8 To find the sin and tan

Q: Suppose cos ? =15/17 and ? lies in the 4th quadrant. Choose one of those ways to find sin ?.

A: Solution is in step 2

Q: 10. If csc0 : and 0 is in the third quadrant, find cos 0, sin 0, and tan 0. 4 --

A:

Q: 3. Let cos(a)= 11 and tan(B) 21 for a in Quadrant IV and B in Quadrant II. 20 Find the following…

A: Given :           cos(α) = 1161 ; tan(β) = -2120 for α in Quadrant IV and β in Quadrant II.   To…

Q: 1) Use cofunctions of the complementary angles to answer the following questions. Show your work. a)…

A: We know that, sinθ=cos90°-θ=cosπ2-θ cotθ=tan90°-θ=tanπ2-θ cosθ=sin90°-θ=sinπ2-θ…

Q: 3) If Sin A= 12/13 Then without using calculator Find the value of Cos 2A O 25/169 O (-119)/169…

A:

Q: 3 = -- and A is a negative acute angle. 4 What is the value of cos - A if tan A = -

A:

Q: Find the exact value of each of the remaining trigonometric functions of θ. cot θ = 3, cosθ &lt; 0

A:

Q: 5. Is the equation cos 0 – sin 0 =1 an identity? If so, verify it. If not, explain why. %3D

A: The trigonometric equation is an identity if it is true for all cases. To check if the equation is…

Q: 3. Given that sin x = and cos y = - -17, such that both x and y are in the same quadrant. Without…

A:

Q: If sin A = 3/5 with A in QI and cos B = - 5/13 with B in QIII, find sin (A + B), cos (A + B), and…

A: Given: sinA=35, cosB=-513 here, A is in first quadrant and B is in third quadrant  we know that in…

Q: 5. When sin A = -– and A lies in Quadrant III and cos B = - Quadrant II, what is tan(A+ B)? - and B…

A: First find out the values of tanA and tanB than use the trigonometric formula of sum of angles and…

Q: If sin θ = 4 / 5 and θ is in quadrant II, then cos θ =

A: We know that in the second quadrant, sine is positive and cosine is negative. Also, sin2x+cos2x=1.

Q: 2. Find the exact value of sin 20 and cos 20 if sin 0 = and angle 0 lies in quadrant II.

A:

Q: If sin(0) = and 0 is in Quadrant III, then 13 - what is cos()? 2 Simplify your answer completely.

A:

Q: 2. If sin 6 = , and e is in Quadrant I, evaluate each expression. 3. a. sin 2 0 b. cos 2 0 C. tan 2…

A: This problem can be solved by using trigonometric identities and formula for double angle.  The…

Q: 5. Use a half-angle identity to find the exact value of sin cos x = 12

A: To find the value of sin

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

A:

Q: 3. If sin(0)=-5 and 0 is in Quadrant III, find the exact values of cos

A:

Q: 5. Is the equation cos 0 - sin 0 = 1 an identity? If so, verify it. If not, explain why. %3D

A: As we know that an identity is satisfied by any value of variable . Let's check for given equation .

Q: If sin θ = 4/5 and θ lies in quadrant II, find the exact value of cos 2θ.

A: Given, sinθ=45 θ lies in quadrant II.

Q: 1 7 Give exact answers. If cos(x) = sin (1) 2 COS (5) tan (²) - = (in Quadrant 1), find

A:

Q: 5. Is the equation cos 0 – sin 0 = 1 an identity? If so, verify it. If not, explain why.

A: We have to check

Q: 14. If sin 0 :- and e is in quadrant III, find tan 5 2

A:

Q: ind the remaining trigonometric ratios of θ based on the given information. csc θ = 2 and cos θ is…

A:

Q: Find the remaining trigonometric functions of θ if csc(θ) = 13/5 and cos(θ) < 0.

A:

Q: 16) Simplify the trigonometric expression. Cos 0 · cot 0

A: cosθ · cot θ

Q: if sin(0)=-7/25 with 0 quadrant IV, what is cos(0)?

A: Given

Q: Find the exact value of the expressions cos(a B), sin(a + ) and tan(a B) under the following…

A: To calculate the value of the expression cos(α+β), sin(α+β) and tan(α+β) under the provided…

Q: 24 Given that sin(0) =- and 0 is in Quadrant III, what is cos(20)? %3D 25

A:

Q: 5 Suppose ABC is a right triangle, and the Cosine of A is Use a Pythagorean identity to find the…

A:

Q: 4 , x in quadrant I, then find (without finding x) : 5 If sin x = 24 sin(2æ) = 25 cos (2x) = tan(2x)…

A:

Q: 3 If cos 0 = - 4 and 0 is in Quadrant III, then sin 0 is equivalent to 2. (1) - (3) – 5 4 4 (2) *…

A: in 3rd quadrant sin is negative : Given :

Q: 2/5 and 0 is in Quadrant II, what is cos(20)? Given that cos(0)

A:

Q: 3. If sin 0 15' Find the values of the remaining 5 Trigonometric functions 2 cin cos A

A:

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

A: The solution is given below:

Q: 4. If tan 0 =E, x<0<, find the exact value of each of the following. 2' (a) sin (20) (b) cos (20)…

A: As we know that sin2A=2tanA1+tan2Acos2A=1-tan2A1+tan2A

Q: 30° If 15° = then use the half-angle formulas to determine the exact value of sin(15°) cos (15°)

A:

Q: 13 6 Give exact answers. If csc(x) = = sin(-) = ³(²-) tan()=[ COS (in Quadrant 2), find

A: NOTE: Refresh your page if you can't see any equations. . as we know,

Q: Find the exact value of the following under the given conditions:a. cos(α + β)  b. sin(α + β)  c.…

A: It is given that the angle α lies in II quadrant. In II quadrant, all the trigonometric ratios are…