Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(ß). 16 28

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

A:

Q: 18. Find the exact value of the following expressions. Simplify. 7 cos arctan V3 a) b) tan cos 4

A: Here we calculate the value

Q: A4 to Select the TWO expressions that must be equivalent to cos A. tan 90 B. sin z sin y

A:

Q: If cos t = - and t is in the 3rd quadrant, then sin t = V48 4 V80 8 V48 8 O V48 4

A: Since, it is given that cos (t)=-48and t is in the 3rd quadrant.Our Aim is to find sin (t)=?

Q: 9. Given that sin A= 5 , where OCA<II, and tan B = -4, and tan B= 4 2. %3D 3. where 3 TT <B <2 Tl,…

A:

Q: What is the exact value of cos ZPQR? 3 4 R. 16 31 16

A: Here we use the cosine law of triangle

Q: find sin A, cos A, and tan A.

A:

Q: 3. Suppose that sin r =, x lies in quadrant I, and sin y = 3 and y lies in quadrant II, find sin(x +…

A: Given: sinx=45, x lies in quadrant I. And siny=1213,y lies in quadrant II. We know that, In quadrant…

Q: ngles A and B are located in the first quadrant. If sin A = lue of cos(A + B). 5 and cos B = 13 3…

A: Given query is to find the value fo indicated angle.

Q: 4. Explain the steps in verifying that the following equation is an identity. sec sin a sin r cos a…

A: Given equation: secxsinx-sinxcosx=cotx

Q: 7. cos A = ar and sin B = 5 with A and B in QI. 13

A:

Q: find sin ). co ), aud tan for each gueton Sin X = 4 and x is ふ quadrant

A: We have to find  Sin(x/2) ,Cos(π/2), and tan(π/2); For sin(x) = 1/8 and x is in first quadrant.

Q: 2. Find the cxoct values of Sin Zu and cos2u

A:

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 4, y = 9.

A: Solution is given as below:

Q: 13п What is the exact value of sin-(x) if x =cot 4 A 4 B 4 D 티2

A: Option (c) π2

Q: 11. What is the general solution, in radians, to the equation sin 2x +2 cosx = 0? A. TT + -n, where…

A: According to the question, we need to determine the general solution of this trigonometric equation.…

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s + t) and cos (s-t). 3…

A: Given : sin(s) = 3/5, sin(t) = -12/13, s is Q2 and t is Q4.   where,            cos(s) = √1-sin2(s)…

Q: 2. (20 pts.) Let cos() =- and <B< Use one of the Half-Angle identities to find the exact value of…

A:

Q: S cos? rdr .2 CoS

A: We will find the integral as following.

Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: If sin t = 3 and t is in the 2"d quadrant, then i) tant = ii) sec t =

A:

Q: 37 where < < B <2r, find cos (a + B) 2 a<n and cos B = - where Given tan a =

A: We have cosα+β=cos α cos β - sin α sin β tan α=-43⇒cot α=-34⇒cosec  α=1+cot 2α=1+916=2516=±54sin…

Q: 22. Determine sin? y cos® y dy

A: Note that the reduction formula for ∫0π2cosnx dx=n-1nn-3n-2...231, if n is oddn-1nn-3n-2...12π2, if…

Q: find sin(a) given that cos(a) = 3/5 and sin(a)

A:

Q: ) Calculate sin?x cos x dx

A:

Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

A:

Q: Find the value of cos e if sin e= 0° S85 90° 7. 25 49 33 3

A: Given condition - 0° ≤ θ ≤ 90°Hence, θ is in 1st quadrant.We know that,sin2θ + cos2θ = 1…

Q: 19. Writc the ratios for sin B and cos B. a. sinB cosB 5 b. sinB cosB 5 %3D C. sinB cosB = %3D d.…

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

Q: S 16 sin?x cos?x dx x cos²x

A:

Q: 12) Evaluate sin2r cos(sin?s) d . |dx .

A:

Q: 3) Find sin(s+ t) given that cos s = with s in quadrant I, and sin t = - with t in quadrant IV. 2

A: We are solving the first question and for the next question post the question again and also mention…

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 7, y = 9.…

A: First we shall solve the given trianlge. Now we shall find the third side using pythagorus theorem.…

Q: Find ton A and sin 0 Given: CoS 0- 2. and Sin OLO 3.

A:

Q: Find sin(a) and cos(ß), tan(a) and cot(ß), and sec(a) and csc(ß). 16 28 B

A: Given,          A right triangle is shown below

Q: Find the exact value for the expression under the given conditions. 5 cos (a+ B), sin a= for a in…

A:

Q: What is the exact value of cos ZPQR? 3. P 4 R. 7. 16 • Previous tv 2] 3/16

A: We have to find cos angle of PQR.

Q: l side of θ lies along the lin

A: we have to find sin θ and cos θ if the terminal side of θ lies along the line y = 4x in QI

Q: B/ Find sec a, sin a, csc a, tan a and cot a, if a =. -1 V3 = COS 2

A: Given query is to find indicated trigonometric functions.

Q: Find the value of: (1) sın (sin): (i) tan- (tan *(tan): (iii) cos (tan12 + tan"12)

A:

Q: 27. sin? ax cos? ax dx

A:

Q: 1. Determine an exact value for the following expression: sin COS IL + tan It cot 3 4 4

A:

Q: 6. What is the value of sin 0 + cos 0? 24 25 7.

A:

Q: 2. If sin a =,0<a< 3. 2V5 ,where <B < 2n 3 . cos ß = Determine the value of a. sin(a + B)%3D b.…

A:

Q: 5. Select all that are true. (xª)° = rab sin? 0 + cos? 0 = 1 V2

A:

Q: 4. What is the value of cos 30? 213 V3 A. В. 2 c D. 2 3 5. What is the value of sec 45? HIN

A: To find the value of given trigonometric ratio.

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: Question in Image.

A: At the outset I must say it's an amazing question. Information is given about α and the questions…

Q: 17. Give the EXACT values for the quantities. (a) sin = (b) cos = (c) cos- = (d) cos

A: Topic = Trigonometry