What is the relationship between the sine and cosine of complementary angles and why is it true?

Q: Choose the function that could be used to find the measure of angle A. cos COs sin sin

A: in given triangle

Q: If the sine of an angle is .6691, Find the angle

A: Let the angle be 'x' sin(x)=0.6691

Q: Use a half-angle formula to find the exact value of the expression sin 105°

A: We have given the expression; sin 105° We know the half-angle formula is;

Q: Find the exact value of sin2theta for the angle theta

A:

Q: State the sum and difference formulas for sine, cosine, and tangent

A:

Q: Find the six trigonometric function values of the specified angle.

A: Find the six trigonometric function values of the specified value.

Q: Use a half-angle formula to find the exact value of the expression sin 15°.

A: Consider the following formula:…

Q: If the sine of an angle is .75, what is the measure of the angle to the nearest degree?

A: sinƟ = 0.75Ɵ = sin-1(0.75) = 48.6° = 49°tan-1(0.05) = 2.86° = 3°

Q: The terminal side of an angle 0 in standard position intersects the unit circle at What is sin (6)?

A: A unit circle is a circle of radius 1.

Q: Is the sine function even, odd, or neither?

A: We know that, a function fx is said to be even if and only if f-x=fx. Also a function fx is said to…

Q: When we evaluate sin 2, how do we know whether to set the calculator todegree or radian mode?

A: Set the calculator to radian mode to evaluate sin 2.

Q: Given that cose = - and sine is negative, choose 28 by clicking.

A:

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: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 30°: 0 = degrees Cosine as 30°: 0 =…

A: To determine: 1) Sine as 30 degrees and 2) cosine as 30 degrees.

Q: what is the exact value of sin (112.5*) using the half angle identities

A:

Q: A right triangle has one angle of 4π /3 radians. What are the other angles?

A: A right triangle has one angle 4π3 radians. The right angle measures π2 radians.

Q: Explain why the law of sines can be used to solve a triangle if the measure of an angle is given…

A: we have to explain why the law of sines can be used to solve a triangle if the measure of an angle…

Q: If the terminal side of a quadrantal angle lies along the negative x-axis, which two of its…

A: Suppose the terminal side of a quadrantal angle lies along the negative x-axis, then our aim is to…

Q: Find the values of the six trigonometric functions for angle 0

A: here there are six trigonometric functions  P=perpendicular, H= hypotenuse , B= base  sin 00=PHcos…

Q: Evaluating the sine of a difference of two angles can be done using sin(A – B) =?

A:

Q: Find the exact value

A: Given, sincos-1-23

Q: The difference between two angles, how is the result of the same trigonometric function

A:

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 50°: 0 - degrees Cosine as 50°: 0 =…

A:

Q: Explain how to convert an angle from radians to degrees.

A: It is known that π radian = 180°. This implies that 1 radian = 180π.

Q: Find another angle Phi between 0 degrees and 360 degrees that has the same cosine as 69 degrees. Do…

A: Given

Q: Find another angle theta between 0 degrees and 360 degrees that has the same cosine as 245 degrees.…

A:

Q: On a particular sunny day, a 25 foot tall tree has a shadow of length 30 feet. Find the elevation of…

A: Consider object on an imaginary horizontal line which represent our eye level. Angle of elevation is…

Q: Are the angles measured in radians?

A: Given: Are the angles measured in radians?

Q: Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1.

A: Let us consider a right angled triangle as below. Here θ is an acute angle. In the right angled…

Q: Complete the double angle formulas for sine, cosine, and tangent: sin(2x) || cos(2x) tan(2x) : ||

A:

Q: Use words to describe the formula for:the sine of half an angle.

A: We can easily derive the formula for the sine of half an angle:   Let's use the trigonometric…

Q: What is the reference angle of Theta if Theta = -382.1 degrees?

A:

Q: Use a reference angle to write sin(5π/4) in terms of the sine of a positive acute angle.

A: Given

Q: Calculate sin(5) and cos(-270°). Include a sketch of each angle.

A:

Q: Find an angle 0 with 0° <0 < 360° that has the same: Sine as 80°: 0 = 100 degrees Cosine as 80°: 0 =…

A:

Q: when it is necessary to use the Law of Cosines instead of the Law of Sines.

A: This question is based on Law of Cosine and sine rule.

Q: The cosine of the smallest angle in a right triangle is 0.8. What is the sine of the other acute…

A: If smallest angle is θ then other acute angle will be 90-θ sin90-θ=cosθ

Q: What are the reciprocals of the sine and cosine ?

A: we have to determine the reciprocals of the sine and cosine.

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: How do you convert the angles in radians to degrees.

A:

Q: What is the relationship between cosine and sine in relation to complementary angles?

A: Since the ratios sine of an angle and cosine of an is complementary ratios.

Q: Why is sin theta &lt;= 1 for any angle theta in standard position?

A: Here sinθ≤1, for any θ In a trigonometric ratios sinθ and cosθ never takes values greater than 1.

Q: give the exact value of sine 60 degrees

A: sin(60°) = √3/2