Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

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

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Q: Find y' and y". y = cos?x

A: The given function is y=cos2x To find: y' and y''

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

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Q: (5.)Given that sec(x) = 4 and csc(y) = -3 and both x and y are in the fourth quadrant, find tan(x +…

A: Given, sec(x) = 4 and csc(y)=-3. Here, angles x and y are in the fourth quadrant, so cosine and sec…

Q: 9. Solve the following trigonometric equation. C. 2 cos x tan x = 2 cos x а. 2 cos x — 1 3D 0

A: according to the guidelines of company only 3 parts would be answered in this question to get solved…

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: If f(1)=3, f(1)=1, g(x)=cos x, and h(x)=[f(x)]/[g(x)], then what is h'(1)? Round to the nearest…

A: The given mathematical expression is the derivative, which can be determined with the help of…

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

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Q: 2. Sa cos x² da

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

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Q: W (1, sin x, cos x) =

A: Use formula for the wronskian is determinent form.

Q: S cos? rdr .2 CoS

A: We will find the integral as following.

Q: 20. sin? x cos? x dx

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Q: Given sin(a) - and T < a < 3/2 and cos(3) 24 and 0 < B <T/2. Use sum and difference formulas

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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: Which of the following is not true? a) cos?t+ sin?t = 1 b) sec?t – tan²t = 1 c) csc?t – cot?t =1 d)…

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Q: 3. cos?wt

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Q: A) Find the approximation values of 2. 6.1 1. tan 46°.

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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: 3n determine the exact value of 2 3 2, where <xsn, and cot y = where 7< ys. 5 3. If cos x 2 12 cos…

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Q: (a) sin(e/2) (b) cos(e/2) (c) tan(8/2)

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Q: 4. Use the diagram below to complete the table. y B 4 Coordinates of B sin 4 cos 4 3n tan 4

A: We have to find coordinates

Q: 14 If cos x = and sin x < 0, find sin x. 3 15 V5 C) 3 5 B) 9. V14 A) D) 3 E) –- 9. 6. The fu

A: 4) If cosx=-23 and sinx&lt;0 We have to find sinx=?

Q: 2. Which equatien will sllewes to sahve fer x? a sin 40= b sin 40 C. Cos 40 d. cos 40 e t 40= L t 40

A: :

Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

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

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Q: What is the exact value of the cos ZXYZ? 7 6. Y Z. 8. 11 514

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Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: 4. Substitute the given information. 5. Solve the problem. opp a. tan A = adj b. hyp= c. 6 cm d. sin…

A: We have to find the side

Q: 4 pts Two angles, X and Y , are complementary. If cos(X)=, what is sin(Y) ? O not enough information…

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Q: 24 where 25 3T < B < 2n , find If sin(a) = where 0 < a < 13 and cos(B) = 2 (b) cos(a – B) ( 1) tan…

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Q: Which of the following is not true? a) cos?t = 1+ sin²t b) sin?t = 1- cos²t c) csc?t = 1 + cot?t d)…

A: From the trigonometric relation: sin2t+cos2t=1 So, sin2t=1-cos2t Therefore, Option (b) is true and…

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: If sin t = - and t is in the 3rd quadrant, then tant: 21 2 29 5 2 21 V21 5 V21

A: Sin t = -2/5  t is in 3rd quadrant.

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: Which of the following is not true? a) cos?t+ sin²t = 1 b) csc?t – cot?t = 1 c) cos?t - sin?t = 1 d)…

A: Topic:- trigonometry

Q: 5. What is the sine ratio of zZ? 16 12 20

A: Given ,

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: 8.- Hallar "x", si: 37x.tan?30° - 5x.csc260° – 7tan45° + 5csc30° a) 2 b) 3 C) 4 d) 5 e) 6

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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: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

Q: If cos t =- and t is in the 3rd quadrant, then sin t = V45 O V53 V45 V45 V45

A: In third quarternt sine and cosine both are nagetive.

Q: If cos t 3 and t is in the 3rd quadrant, then cot t = 9 V72 V72 3 V72 9 V72 3 3 V72

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Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

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Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 6. Plot r = 4 cos O :

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Q: V2 cosy = 7, and angle x and angle y are both in the first quadrant. sina = %3D tan(x+y)=

A: We can find the answer as below.

Q: Find the volume

A: Given

Q: 5.) Select which ratios are equal to cos(x). A XO to C a. sin(y) b. sin(90-x) c. cos(90-x) d.…

A: We need to find which ratio is equal to cos(x)