In Problems 77-88, use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 77. sin 40° + cos? 40° 78. sec? 18° – tan 18° \ 79. sin 80° csc 80° 80. tan 10° cot 10° sin 40° cos 20° 81. tan 40° 82. cot 20° 83. cos 400° - sec 40° 84. tan 200° - cot 20° cos 40° sin 20° 85. sin(-) se 2 37 COs 18 sin (- 20°) 87. sin 70° csc 86. sec + tan 200° 88. + tan(-70°) 18 cos 380° cos (-430°)

Q: 1 - sin (t) sin (t) Simplify to an expression involving a single trig function with no fractions.

A: Let's find single trig function with no fractions.

Q: In Exercises 81–86, use words to describe the formula for each of the following: 81. the cosine of…

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

Q: a. sin (120) d. cos (5m/6)

A: Sin(120°)=Sin(180-60)      Since We know that Sin(180°-x°)=Sinx°       =Sin(180°-60°)=Sin(60°)=√3/2…

Q: In Problems 21–30, find the exact value. Do not use a calculator. 117 25. csc 117 21. sin 22. cos…

A: We have to find the exact value of trigonometric function: 21.  sin 11π222.  cos7π23.  tan6π We know…

Q: In Problems 81–92, find the exact value of each expression. V3 81. sin 2 sin 82. sin 2 sin-! 2 83.…

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

Q: Identify which sequence of transformations will carry the blue triangle onto the red triangle.…

A:

Q: 7. Use Trigonometric Substitution to evaluate -1

A: Here we have to integrate by the trigonometric substitution.  I=∫x3x2-1dx

Q: If you enter a number into a handheld calculator and then repeatedly press the cosine button, what…

A: If you enter a number into a handheld calculator and then repeatedly press the cosine button, what…

Q: Describe a situation in which a right triangle and a trigonometric function are used to measure a…

A: To Describe: The Situation in which a right triangle and trigonometric function can't be used to…

Q: What are the remaining 5 trigonometry functions sim theta =1?

A: Given query is to find the remaining trigonometric functions.

Q: 10 1 Sandwich Measurements 12 Store 1 Store 2 Store 3 13 8.8 9.1 9.0 14 11.4 11.6 12.5 15 13.4 13.4…

A: Given data is stored in Excel as follows.Store 1 (X)Store 2 (y)Store 3…

Q: Find the exact value of the expression sec 22π/3. Do not use a calculator.

A: Given- sec22π3 To find- the value of the trigonometric expression. Formula used- secnπ-θ=secθ

Q: Would an eardrum hearing this tone be vibrating outward or inward when P>0?

A: To determine whether an eardrum hearing this tone would be vibrating outwardor inward when .

Q: Find the exact value of the expression sec 11π/6. Do not use a calculator.

A: Consider the following expression: sec11π6=sec2π-π6 Use the following formula: sec2π-θ=secθ…

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.