Computer Science, asked by anubhutisingh140, 7 hours ago

Application based question: Consider the following spreadsheet and answer the questions that follow: Write the MS-Excel functions to do the following tasks: 1. Calculate the Total Cost for Cookie type - Oatmeal Raisin. 2. Find out the maximum cost of the cookie type. 3. Find out the minimum cost of the cookie type. 4. Write down the cell address of the cell that contains Total Cost for cookie Peanut Butter'.​​

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Answered by AmrutaChoukekar
1

Answer:

sorry I don't know the answer

Answered by ayushyadav2515
0

Trigonometry Values

Trigonometry values of different ratios, such as sine, cosine, tangent, secant, cotangent, and cosecant, deal with the measurement of lengths and angles of the right-angle triangle. The values of trigonometric functions for 0°, 30°, 45°, 60° and 90° are commonly used to solve trigonometry problems.

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios. The word ‘trigon’ means triangle and ‘metron’ means ‘measurement’. It’s one of the major concepts and part of geometry, where the relationship between angles and sides of a triangle is explained.

Maths is an important subject, where we learn about different types of calculations and logic applied in our day-to-day life. Trigonometry basics are widely explained in student’s academic classes of 9 and 10. Here, you will learn about different trigonometric ratios and formulas. Also, solve problems based on these formulas and identities to understand the fundamentals of trigonometry in a better way.

Trigonometry Values Table

Let us learn, trigonometry values for angles  0°, 30°, 45°, 60° and 90°, with respect to sin, cos, tan, cot, sec, cosec functions, taking an example of the right-angle triangle.

Angle

00

300450600

900

Sin θ01/21/√2√3/21Cos θ1√3/21/√21/20Tan θ01/√31√3∞Cot θ∞√311/√30Sec θ12/√3√22∞Cosec θ∞2√22/√31

Suppose ABC is a right-angled triangle, right-angled at B. This triangle has a hypotenuse AC, an adjacent side AB which is adjacent to  ∠θ and a perpendicular BC opposite to ∠θ.

Trigonometry values are based on three major trigonometric ratios, Sine, Cosine, and Tangent.

Sine or sin θ = Side opposite to θ / Hypotenuse = BC / AC

Cosines or cos θ = Adjacent side to θ / Hypotenuse = AB / AC

Tangent or tan θ =Side opposite to θ / Adjacent side to θ = BC / AB

Similarly, we can write the trigonometric values for Reciprocal properties, Sec, Cosec and Cot ratios.

Sec θ = 1/Cos θ = Hypotenuse / Adjacent side to angle θ = AC / AB

Cosec θ = 1/Sin θ = Hypotenuse / Side opposite to angle θ = AC / BC

Cot θ = 1/tan θ = Adjacent side to angle θ / Side opposite to angle θ = AB / BC

Also,

Sec θ . Cos θ =1

Cosec θ . Sin θ =1

Cot θ . Tan θ =1

Trigonometry Ratios Formula

Tan θ = sin θ/cos θ

Cot θ = cos θ/sin θ

Sin θ = 1/cosec θ

Cos θ = sin θ/tan θ = 1/sec θ

Sec θ = tan θ/sin θ = 1/cos θ

Cosec θ = 1/sin θ

Also,

Sin (90°-θ) = Cos θ

Cos (90°-θ) = Sin θ

Tan (90°-θ) = Cot θ

Cot (90°-θ) = Tan θ

Sec (90°-θ) = Cosec θ

Cosec (90°-θ) = Sec θ

Trigonometry Examples

Problem:

Find the value of sin(90-45)°.

Solution:

sin(90-45)° = cos 45° = 1/√2

Problem:

If tan θ = 4 and sin θ = 6. Then find the value of cos θ.

Solution:

We know, cos θ =  sin θ/ tan θ

Therefore, cos θ = 6/4 = 3/2

Keep learning Maths with us and download BYJU’S- The learning App, for interactive videos.

MATHS Related LinksTrigonometric FunctionsTrigonometry TableTrigonometry FormulasTrigonometric IdentitiesInverse Trigonometric FunctionsTrigonometric Addition Formulas

 

 Test your knowledge on Trigonometry Values

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

Select the correct answer and click on the “Finish” button

Check your score and answers at the end of the quiz

Start Quiz

Answered by ayushyadav2515
0

Trigonometry Values

Trigonometry values of different ratios, such as sine, cosine, tangent, secant, cotangent, and cosecant, deal with the measurement of lengths and angles of the right-angle triangle. The values of trigonometric functions for 0°, 30°, 45°, 60° and 90° are commonly used to solve trigonometry problems.

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios. The word ‘trigon’ means triangle and ‘metron’ means ‘measurement’. It’s one of the major concepts and part of geometry, where the relationship between angles and sides of a triangle is explained.

Maths is an important subject, where we learn about different types of calculations and logic applied in our day-to-day life. Trigonometry basics are widely explained in student’s academic classes of 9 and 10. Here, you will learn about different trigonometric ratios and formulas. Also, solve problems based on these formulas and identities to understand the fundamentals of trigonometry in a better way.

Trigonometry Values Table

Let us learn, trigonometry values for angles  0°, 30°, 45°, 60° and 90°, with respect to sin, cos, tan, cot, sec, cosec functions, taking an example of the right-angle triangle.

Angle

00

300450600

900

Sin θ01/21/√2√3/21Cos θ1√3/21/√21/20Tan θ01/√31√3∞Cot θ∞√311/√30Sec θ12/√3√22∞Cosec θ∞2√22/√31

Suppose ABC is a right-angled triangle, right-angled at B. This triangle has a hypotenuse AC, an adjacent side AB which is adjacent to  ∠θ and a perpendicular BC opposite to ∠θ.

Trigonometry values are based on three major trigonometric ratios, Sine, Cosine, and Tangent.

Sine or sin θ = Side opposite to θ / Hypotenuse = BC / AC

Cosines or cos θ = Adjacent side to θ / Hypotenuse = AB / AC

Tangent or tan θ =Side opposite to θ / Adjacent side to θ = BC / AB

Similarly, we can write the trigonometric values for Reciprocal properties, Sec, Cosec and Cot ratios.

Sec θ = 1/Cos θ = Hypotenuse / Adjacent side to angle θ = AC / AB

Cosec θ = 1/Sin θ = Hypotenuse / Side opposite to angle θ = AC / BC

Cot θ = 1/tan θ = Adjacent side to angle θ / Side opposite to angle θ = AB / BC

Also,

Sec θ . Cos θ =1

Cosec θ . Sin θ =1

Cot θ . Tan θ =1

Trigonometry Ratios Formula

Tan θ = sin θ/cos θ

Cot θ = cos θ/sin θ

Sin θ = 1/cosec θ

Cos θ = sin θ/tan θ = 1/sec θ

Sec θ = tan θ/sin θ = 1/cos θ

Cosec θ = 1/sin θ

Also,

Sin (90°-θ) = Cos θ

Cos (90°-θ) = Sin θ

Tan (90°-θ) = Cot θ

Cot (90°-θ) = Tan θ

Sec (90°-θ) = Cosec θ

Cosec (90°-θ) = Sec θ

Trigonometry Examples

Problem:

Find the value of sin(90-45)°.

Solution:

sin(90-45)° = cos 45° = 1/√2

Problem:

If tan θ = 4 and sin θ = 6. Then find the value of cos θ.

Solution:

We know, cos θ =  sin θ/ tan θ

Therefore, cos θ = 6/4 = 3/2

Keep learning Maths with us and download BYJU’S- The learning App, for interactive videos.

MATHS Related LinksTrigonometric FunctionsTrigonometry TableTrigonometry FormulasTrigonometric IdentitiesInverse Trigonometric FunctionsTrigonometric Addition Formulas

 

 Test your knowledge on Trigonometry Values

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

Select the correct answer and click on the “Finish” button

Check your score and answers at the end of the quiz

Start Quiz

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