In AXYZ, the measure of ZZ=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ZX?

Q: Given that a = arcsin (-3), sec ß = and tan B < 0, find the exact value of sin(a + B). %3D

A:

Q: For positive acute angles A and B, it is known that cos A= 9/41 and tan B=21/20. Find the value of…

A:

Q: Suppose ABC is a right triangle, and the tangent of A is 30/6. What is the value of cos A?

A:

Q: What ratio is equivalent to sin∠Asin⁡∠A?

A: We have to find the ratio which is equivalent to sinA.

Q: Suppose that y is an angle with sin y = 4/7 and y is not in the first quadrant. What is the exact…

A:

Q: In AXYZ, the measure of ZZ=90°, XZ = 63, ZY = 16, and YX 65. What ratio represents the sine of ZX?

A: Given that right triangle XYZin which XZ=65 , ZY=16 and XY=65we have to find sin∠X

Q: Find the ratio for sine of ZG 8. 15

A: We know that the  Sin G =PerpendicularHypotenuse Here perpendicular is 15 Hypotenuse is 17 Sin…

Q: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0&lt;θ&lt;π2

Q: Given sin (x? +y) =x , what is dz

A:

Q: . Show that for a small angle 0, measured in radians, sin 30(1– cos 20) z 60³ .

A:

Q: Given that cos(0) = V10 , and 0 is in Quadrant III, what is sin(20)? %3D 10

A:

Q: For an acute angle 0 , the equation sin (0) = cos (6) is true. What is the value of 0 ?

A: If both the angles x and y are acute then    sin x=cos y⇒sin x =sin 90°-y⇒x=90°-y⇒x+y=90°For an…

Q: If cost = 4/5 and tis in the first quadrant, find sin(2t)

A: Use trigonometry relations.

Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: For an acute angle 0, the equation sin(8)=cos(6) is true. What is the value of 0?

A: solution  given below..

Q: In a right triangle = x and cos B= y which expression represents the value of sin C + cos C O y+x O…

A:

Q: Find the approximate value of csc 46° and sec 46°, given that sin 23° 0.3907.

A: We have to find out

Q: Given that sin(0)>0 and tan(0)>0, in which quadrant does 0 lie?

A: We know that According to ASTC formulaIn I quadrant : All trignometric ratios are positive.In II…

Q: A line makes the same angle e with each of the X- and Z- axis. If the angle B, which it makes with…

A:

Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, andr is the…

A: We have to find the trigonometric ratios, reference angles, values of the trigonometric functions…

Q: The angle y whose sine is -1/2 and which is in the interval [-pi/2, pi/2] is y = ?what?

A: Write the given statement in mathematical form and find the angle.

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

A:

Q: Find the exact value of cos(x + y), given sinx = 3/5, cosy = 4/5, x is an angle in Quadrant II, and…

A: Topic = Trigonometry

Q: △ABC is given with a right angle, ∠B, cos(3x+30)°=sin(12x)°. If ∡A=(3x+30)°, what is the value of…

A:

Q: If sin A < 0 and cos A < 0, in which quadrant does ZA terminate? O A. |II O B. IV O C. || O D. |

A: If sinA&lt;0 and cosA&lt;0 ,in which quardrant does ∠A terminate?

Q: If y = cos*[sec?(30)], and (0 = =) y will be equal to? %3D

A:

Q: Given that sin (x) dx -TT, what is 8. sin (0) de? %3D

A:

Q: In APQR, the measure of ZR=90°, QP = 73, RQ = 55, and PR = 48. What is the value of the sine of ZP…

A: Given angle R=90° QP=73 RQ=55 And PR=48

Q: Calculate Sin(15°) in two ways: a)Using half-angle formulae. b)Using angle difference formulae.

A:

Q: In right triangle ABC, mzC = 90° and AC + BC. Which trigonometric ratio is equivalent to sin B? %3!

A: We know that, for any angle x, sin(90-x)=cosx. Also the sum of the angles of a triangle is 180°.

Q: If the cos of angle x is 8/17 and the triangle was dilated to be two times as big as the original,…

A: topic -  triangle geometry

Q: For positive acute angles A and B, it is known that tanA= 45/28  cosB= 7/25 Find the value of…

A: To find the value of sin(A+B) we use the formula sin(A+B)= sinAcosB + cosAsinB

Q: In AJKL, the measure of ZL=90°, JL = 80, KJ = 89, and LK = 39. What is the value of %3D %3D the sine…

A:

Q: Suppose that a and B are in the first quadrant, sin(a) = and sin(B) = What is sin(a + B)?

A: The solution is :

Q: In AXYZ, the measure of ZZ=90°, XZ = 63, ZY = 16, and YX = 65. What ratio represents the sine of X?

A: First sketch a triangle for the given measures as shown below.

Q: The area of one lobe of r = 5 sin(20) is

A: to find the area

Q: 3VTO Given that sin(0) and 0 is in Quadrant II 10 what is sin(20)?

A:

Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

Q: In the image below, the arc length of AB is 8x If the inscribed angle ACB is 2x+80, what is x?

A:

Q: The drive sytem of a compact disc player uses an equation tan y = cos x-r / sin x where r is the…

A: Given,          The drive sytem of a compact disc player uses an equation tany=cosx-rsinx…

Q: In ANOP, the measure of ZP=90°, NP = 35, ON = 37, and PO = 12. What ratio %3D represents the sine of…

A: Given,

Q: 4. Apply half-angle formula to find b. sin 15° 5m C. COS a. cos 15°

A: The half-angle formulas are: sinθ2=±1-cosθ2cosθ2=±1+cosθ2   We know that the sine function is…

Q: If y = cos*[sec? (30)], and (0 =5) y will be equal to? %D

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In right triangle ABC, m/B mZC. Let sin B = r and cos B = s. C Which expression represents the value…

A:

Q: ) * a) Complete each equation. sin 0 = cos 0 = 大 tan 0 = k b) If k = 9.4 and f = 12.7, what is the…

A:

Q: For an acute angle 0, given the equation sin(0) = cos( 38 ) What is the value of 0?

A: sin(90-θ) = cosθ

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.