given that cos ( θ ) = - ( 3 square root 13 ) over (13) , and θ is in quadrant III, what is cos (2θ)? Give the exact value as a fraction. Use the appropriate double-angle formula.

Q: Evaluate tan (315°) + sin (150°) =

A: To find:- tan315°+sin150°

Q: Find angle A rounded to the nearest tenth of a degree when cos A = 0.4104.

A:

Q: Simplify the following, showing steps: csc(θ-4π)cscθ+tan(-θ)cot(θ+4π)

A: The given trigonometric expression is,

Q: Solve the given equation  tan(Theta)=7 Theta= ........... rad

A: The trigonometric equation is given by tanθ = 7 To evaluate : The value of θ

Q: If alpha= -163 degrees and beta =31 degrees, what is the measure of theta?

A: Given:

Q: Calculate fa₁. (1 + tan² a) da

A:

Q: Find sin B.

A: We have to find sinB from the given figure.

Q: Eratosthenes noticed that the shadow’s length was 1/8 the pole’s height. Suppose the pole’s height…

A: We are only allow to do first question Dear student if you need rest of answere please upload…

Q: Find the measure of cos-1 (-0.5) in degrees and radians.

A: cos-1-0.5

Q: Solve x by reciDrocal trigonometric ratios (CSC , sec , cot) ノ ノ A 25 35° B

A:

Q: a. Find sin(270). b. What trig function and angle is equivalent to sin(2701?

A: Solution : we have to find out a. sin(270°) b. Trigonometric function and angle is equivalent to…

Q: If Jon needs to find the value of cos P in PQR, which of the following ratios should he use?

A: Cos p = adjacent hypotenuse            = PQPR

Q: Simplify the following showing steps:   Cos4(theta)-Sin4(theta)

A: Given,

Q: Sople y tan(-c). cosa Sinca)-

A: We have to find

Q: Draw a triangle that would be used together with the substitution x = 3 sec θ.

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.