If 0 is an angle in standard position and its terminal side passes through the point (-15,-8), find the exact value of sin 0 in simplest radical form. 00 Answer: Submit Answer

Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

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Q: Convert the angle 45° in degrees to radians. Express your answer as a multiple of π.

A: Given angle in degree: Now using, Degrees to the radians conversion formula:

Q: Evaluate the sine, cosine, and tangent of the angle 11π/4 without using a calculator.

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Q: Write the expression as the sine, cosine, or tangent of an angle. tan(1.9) – tan(4.2) 1 + tan(1.9)…

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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: In terms of the cosecant of a positive acute angle, what is the expression for csc(3π4)? Enter the…

A: From the given problem:   csc3π4   So,   We can write as:…

Q: Convert the angle 330° in degrees to radians. Express your answer as a multiple of π.

A: We know that π radian=180° So, 1°= π/180 radian

Q: Find the exact value by using a half-angle identity. sin 75°

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Q: A student uses a protractor to measure an angle to be 0 = 85° ± 1°. What should she report for sin 0…

A: We know that, the uncertainty in sin(θ) can be found either from half the difference between the…

Q: Simplify using either an Addition / Subtraction Formula or a Double Angle Formula, and then evaluate…

A: Solving the problem by finding the value of the expression.

Q: Use a special right triangle to write cos 30 degrees as a fraction.

A: Let us use 30°-60°-90° triangle which is a right triangle having the angles 30° and 60°.

Q: What is an equivalent expression of Sin 21 in terms of the reference an (related acute angle)? a)…

A: To write equivalent expression for sin5π6

Q: Write the expression as the sine, cosine, or tangent of an angle. tan(1.1) – tan(4.7) 1 + tan(1.1)…

A: Given expression is, tan(1.1)-tan(4.7)1+tan(1.1)tan(4.7)

Q: What is the value of sin(135°)?

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Q: Convert the angle 315°in degrees to radians. Express your answer as a multiple of π.

A: Given that to Convert the angle 315°in degrees to radians. The relation between degrees and radians…

Q: Use a Half-angle Formula to find the exact value of:sin (- 15°)

A: The given function is the sine function, hence trigonometric formulas help to find the value of the…

Q: Simplify, using the double-angle formulas: 1- 2 sin2(15°)

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Q: Complete the half-angle identity. sin 스 =

A: To express sin(x/2) in terms of trigonometric ratios of x.

Q: Convert the angle 45° in degrees to radians.Express your answer as a multiple of π.

A: To convert 45° to radian. Solution: We know that 1°=π180° radian To convert degree into radian we…

Q: If sinθ=0.118, find θ, writing your answer to the nearest degree.

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Q: What is the sine of the 45° angle A?

A: the opposite side of the angle A is BC  and  the hypotenuse is AB

Q: Use a half-angle formula to find the exact value of tan (pi/8).

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Q: Use a half-angle formula to find sin(105°). Simplify your answer completely.

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Q: Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is…

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Q: Find the sin of 60°. V3

A: In the given question, concept of trigonometric ratio is applied. Trigonometric Ratios The ratios of…

Q: Convert the angle 18° in degrees to radians.Express your answer as a multiple of π .

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Q: If cot (x) 23 (in Quadrant-I), find 30 sin(2æ)

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

Q: Convert the angle 120°in degrees to radians. Express your answer as a multiple of π.

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Q: use a half-angle formula to find sin((11pi)/12) simplify your answer completely

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Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. 137 sin. 12

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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: Find [2(cos 30° + i sin 30°)]5. Write the answer in rectangular form.

A: Trigonometry:  We need to find the value of the following    [2(cos 30°+isin 30°)]5

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (13/19,y). What are…

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin(x) cos(8x) + cos(x) sin(8x)

A: Sin (A+B) = Sin A x Cos B + Cos A x Sin B

Q: If 0 is an angle in standard position and its terminal side passes through the point (2,7), find the…

A: We  have to find tan theta

Q: Write sin(275°) in terms of the sine of a positive acute angle. Provide your answer below: sin()

A: In the  IVth quadrant sin(θ) is negative:   Acute angle: it is an angle whose measure is less than…

Q: If (-3,4) is a point on the terminal side of an angle A in standard position, then what is Sin(A)?

A: The point (-3,4) lies in the 2nd quadrant and hence sin will be positive.

Q: What angle between 0 and 2pi radians has its cosine equal to 1/2?

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Q: sin 2.

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Q: Write the expression as the sine, cosine, or tangent of an angle. tan 120° - tan 80° 1 + tan 120°…

A: Given that

Q: Write the expression as the sine, cosine, or tangent of an angle. sin cos 7 cos 5 sin 5

A: Consider the given expression as, E=cos4π7cos7π5-sin4π7sin7π5 Consider the required formulae,…

Q: If 0 is an angle in standard position and its terminal side passes through the point (-9,-1), find…

A: Given: θ is an angle in standard position and its terminal side passes thorugh the point (-9,-1).

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 3 cos 1.2 - cos 3 sin 1.2

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Q: Use a double-angle formula to rewrite the expression. 3 - 6 sin? x

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Q: Use half angle formula to evaluate sin (285°)

A: Half angle formula Sin( x/2) = +√(1-cosx) /2

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.