Give the simplest form of each trigonometric expression. 1. cot 0 tan ni 2. tan 0 cos 0 VIOi 0.8 1 4. cos e 3. 1-sin? 0

Q: B. If cos(a) = sin(52°), what is the value of a? a) 28° b) 38°

A: Solution of the problem as follows

Q: What is the given trigonometric expression equal to? 1- tan? 0 +1 1+ tan² 0 O a. cos? e b. cot? 0 2…

A: Solve the given expression

Q: If sin  B  = -1/3 with A ,find the following  cot B/2

A: Given that sinB=-1/3 We need to find cot(B/2) First let us find the value of B sinB=-1/3…

Q: Solve the cos?@ =0 O L o L Zī Answers must be exact values in" radians r Not equation on the…

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Q: Given: sin a 13 Find: cos a and tan a

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Q: 2. Given sin in Qil, tind the exact value of the following: a. sin(26) b. cos (26) C. tan (26)

A: Given sinβ=513 in quadrant II. To find: a. sin2β    b. cos2β    c. tan2β Solution: We know that in…

Q: e cgntion 3. If 2 sin(60) cos (60) = sin(B0), then the value of B to the nearest whole number is

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Q: 2. Evaluate each of the following and give the exact answer without using a calculator. Use the…

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Q: Find the expression identical to the one given. 2 cos? (0/2) - sec? e cot e-1

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Q: Which among the choices is equivalent to the given trigonometric expression? 1-tan? A sec2 A O sec…

A: To write the trigonometric expression:1-tan2Asec2A

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

A: Given that α is acute angle, that means 0<α<π2.Hence, all the trigonometric ratios are…

Q: On what quadrant does the e lies. if cos e>0 and sin e >0 O IV

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Q: Use the given information to find the exact value of the expression. (3 points) 5 3 3) tan a =- 12 ,…

A: Given thattanα=512, cosβ=-35we have to calcualte…

Q: If sin a = 12, and cos a=, then tan a=D? %3D A. B. A 13 С. 12 D. 13 E. 60 Е. 13

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Q: 19. Which of the following trigonometric values is/are negative? I. sin (–292') II. tan (–193°) II.…

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Q: 8. Which of the following is equal toCose ? a. tan20 + sec²e b. tan²O sec²e c. sin²O cot²e d. sin?e…

A: Which of the following is equal to cos2θ? a. tan2θ+sec2θ b. tan2θsec2θ c. sin2θcot2θ d. sin2θ-cot2θ…

Q: 17 If cot(z) = 5 (in Quadrant 1), find Give exact answers. sin cos ) - 43 3 COS 3 tan)

A: This question can be solved using the concept of trigonometric ratios of submultiple angles

Q: If sin (2a) cos (a +30), what is the value of a ? O20 O 20 O 30 О 50 O 110

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Q: 1. Use the Pythagorean properties to write expressions equivalent to: a. sin?x b. cot?x

A: Now following properties are called as pythagorean properties   sin2x + cos2x =1tan2x + 1 =…

Q: If sin A -I and cos B =? where A and Bare in Quadrant IV, find cos(A+ B).

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Q: Use the given function value and the trigonometric identities to find the exact value of each…

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Q: Find the exact value of the trigonometric expression given that sin u = − 5/13 and cos v = −…

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Q: If tan A= and 0 <A<90, which of the following could be a value of cos A? 15 15

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Q: In which quadrant does 0 lie if the following statements are true: cos 0 > 0 and (sec 0)(tan 0) > 0

A: Given query is to find the quadrant for the angle.

Q: 1. Which of the following statements is true? A. sin e B. cos 8 =. adjacent opposite hamntansi…

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Q: Which is NOT a trigonometric identity? O csc 0- cot0 1 O sec? 0- tan e 1 O sin? e+ cos 0-1 O sec? 0…

A: The value of sec2θ=1cos2θ and csc2θ=1cos2θ.

Q: if cot u = 7.827 and u is in Quadrant-III. 2 Find sin osent (5) sin Your answer should be accurate…

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Q: In the triangle below, which of the following is equal to "? 70° a 20° cos(20°) sin(20°) tan(20°) D…

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Q: Which trigonometric expression is equal to 1+cos(2y). sin(2y) O cotty) O csc(y) O sec(y) O tan(y) 2…

A: We have to find out

Q: 3. Which expression is equal to SC S using identities? cot x+tant O cos? x sin 2 O - sin? 2 O - cos?…

A: Use trigonometric identities to solve the problem. Use sin2x + cos2x = 1 and secx=1/cosx

Q: Rewrite the following expression in terms of u with u >0.That is, to rewrite the expression in terms…

A: The given trigonometric expression:  cotsin-1uu2+2

Q: In the diagram below, which of the following is true? 17 cm 12 cm 12 sin e = 17 A 17 sin e = 12 B 12…

A: GivenTo identify which of the following is trueFormula:cos θ=Adjacent sidehypotenuse

Q: Find a cofunction with the same value as the given trigonometric expression. Use "pi" to write r. 1)…

A: To find cofunction we use,         Cos(A)=sin(90-A)           Tan(A)=cot(90-A)

Q: 2. Simplify the following trigonometric expression tan? I sec2 x + cos? r

A: Please see the answer below

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: 24 If cot(z) = Give exact answers. sin ( 2 ) = cos (1/7) = | tan(²/2) = (in Quadrant 2), find

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Q: Evaluate the expression under the given conditions. 8 O in Quadrant I 17 tan(20); cos(0) Need Help?…

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Q: Given sin A = 12/37, find cos A and tan A

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Q: Give the exact value of each of the following trigonometric expressions. Do not use your calculator.…

A: We have to find the following given condition

Q: Which trigonometric expression has the same value as sin 38°? A tan 52° tan 38° C cos 38° D cos 52°

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Q: Find the exact value of the trigonometric expression given that sin(u) = 2, where 37/2 < u < 27, and…

A: Given : sin(u)=-35  , cos (v)= 1517 we have cot θ=cos θsin θ cos (u+v)= cos (u+v)sin (u+v)=cos(u)…

Q: 24. Use the trigonometric ratio cos e= 0.6798 to determine which of the following is the correct…

A: We use trigonometry ratios.

Q: Which of the following is true? a. sinθ = cos(90°+θ) b. cot(-θ) = cotθ c. tan2θ + cot2θ = 1

A: we have to identify which of the following is true?

Q: The expression 1- cos? x is equivalent to O 1 sin? Submit Answer cos x tan? x cot2 sec2 x csc? x

A: We can make it easier for you

Q: Pa Use the approximation sin 50° 0.77 with trigonometric identities to find the approximate value of…

A: Topic - trigonometry Note : as per bartleby guidelines ,we are supposed to answer first three…

Q: When e = 28°, which equation can be used to find the distance from point A to point B? O sin 28° 3…

A: Given- A spring is attached at one end to support B and other end to collar A. To Find- Which…

Q: 3. Find the values of the following trigonometric functions sin 60° cos 60° = tan 60°= csc 60° sec…

A: sin60°=?

Q: un a = 90° <a < 180°, then find the exact value of each of the following. α a. sin b. cos c. tan ...

A: We have to find trigonometry value

Q: 1. Using the half-angle formula, simplify the following expression. sin 48° 1 + cos 48°

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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.