7. If Sin A = 3/5 and Sin B = 5/13, where A and B are acute angles , find without using tables, the values of: a) Sin(A+B), b) Cos(A+B) , c) Cot(A+B) %3D (ans.: 56/65: 33/65: 33/56)

Q: Which of the following is not equivalent to sin 0? sin 0(1 + cot? 0) cos 0 tan 0 Option 1 Option 2…

A: Use trigonometry expression.

Q: If v x w = (-1, 4, 0) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A:

Q: If  alpha is a Quadrant IV angle with cos(alpha)=sqrt(5)/5 and sin(beta)=sqrt(10)/10, where…

A:

Q: 7. Given an angle 0 with < 0 <n and sin 0 = 4/5, find the exact values of (i) cos 0 (ii) cos 20…

A:

Q: If a, B, y, ð are the smallest positive angles in ascending order of magnitude which have their…

A:

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: (1+cot 8) de 5. sin eJ4 - cote

A: ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫…

Q: Find tan 8, csc 0, and cos 0, where is the angle shown in the Give exact values, not decimal…

A: Given query is to find indicated trigonometric functions.

Q: 7. Let tan u = and sin v = , with n <u < and < v<T. Find the exact value of sin(u – v). 13

A:

Q: 9. Approximate, to the nearest 0.01 radians, all angles 0 in the interval 0,27) that satisfy sec 0 =…

A: Given: secθ=-2.638 we know that secx is negative in second and third quadrant so, in given interval…

Q: .If Sin 0 = 3/ 5 , find without using tables the values of : i) Cos 0 i) tan 0 (ans: ) 4/5; ij 34)…

A:

Q: In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? 1. sin(A) = sin(C)…

A: topic- trigonometric identities

Q: Find the exact value of the half-angle. 4. sin 0 =-- where se <2T Find sin 이2

A: Given that sin(theta)= -4/5 and find sin(theta/2). Here 3π/2&lt;=theta&lt;=2π( here theta in the…

Q: 2. Which set of primary trigonometric ratios is correct for the angle 225°? a. sin 225° = 1 cos 225°…

A:

Q: 8. Use the given information to find sin 20, cos 20, tan 20. sin =.0 < 0 <; %3D

A: Some Trigonometric formula,                             1.   sin2θ+cos2θ=12.   sin2θ = 2sinθcosθ3.…

Q: Given ?, a positive angle less than 2pi, fill out each of the following in terms of ?.     ? in QI…

A: Answer

Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

A:

Q: Find all angles v between −π and π that satisfy  6 cos(v)2+6 √ 2 * cos(v)= −3 .

A:

Q: 5 <. If the angle a (measured in radians) is such that 2π <a<, then it turns out that O (A) _V2 <…

A:

Q: If w-f(a,b,c)=cos(ab)sin(b)+c, what is at -,6 )? 2 3

A: The given function is w=fa,b,c=cosabsinb+c and the point 12,π3,6. .

Q: 3 = -- and A is a negative acute angle. 4 What is the value of cos - A if tan A = -

A:

Q: 11. Find tan 0, given that cot 0=-0.25 1 d.- а.-4 c.4 4

A:

Q: 6. Find sec 8, given Ihat tan e 3 and e is in quadrant IlI. %3D

A: We have given that  tanθ = 73 and θ is in 3rd quadrant. Use the following trigonometric property:…

Q: Find the angle 0 between w = cos 플 i+ sin푸 7 cos플 i + sin and %3D

A:

Q: 7 If cos x s and sin y = -0 < x <,n < y < *, evaluate sin(x – y) using compound angle formula. %3D…

A:

Q: Find the exact value of trigonometric expression given that sin (u)= -3/5, where 3pie/2 <u< 2pie,…

A:

Q: 14. If sin® = , where 0° <0s 90°, what is 0? %3D

A: sin θ = 22sin θ = 12sin θ = sin 45°      θ = 45°

Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

A:

Q: 5. What is the purpose of using Odd and Even functions in Trigonometry? Also, indicate if sin 0, cos…

A: Graph of odd functions are symmetric about origin. i.e If  function f(x) is odd function, then f(-x)…

Q: 3. Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at…

A:

Q: The magnitude of A = p cos 0 a, + pz2 sin Ø a, at point (3, -4, 0) is: %3D

A: To find magnitude of A⇀=ρcosθaρ⇀+ρz2sinφaz⇀   at point (3,-4,0)

Q: 9. If the sin (x +20°) = cos x, what is the measure angle x? %3D

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…

A:

Q: Find the exact value of s in L-7,7) by first finding the reference angle along with 45-45-90…

A:

Q: 2. If sin 0 = and e is in the second quadrant, find tan, 0.

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

Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  &amp; its identity

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) =D를, x in Quadrant I sin(2x)…

A: cot x = 23= 0.67x = cot-1(0.67)x = 56.3°2x = 112.6°

Q: Use the definitions of sin(z) and cos(z) given in Lecture 13 at the 13:30 mark to prove that sin z+-…

A:

Q: 7. Find tan 0 + sin 0 for the angle shown. 3 tan 0 + sin 0

A:

Q: 8 find the following. 15 13 If a and B are acute angles such that csc a = – and cot B = %3D 12 (a)…

A: Given: csc α=1312we know, csc α=1sin α  sin α=1213     so

Q: if sin 70°=cos x where x is the measure of an acute angle then x =

A: By using trignometric formula we can easily solve this given problem Detailed solution given below

Q: 1. Express cos-as a cofunction of a complimentary angle 10"

A: we have the formula  sin(π/2 - x ) = cos x Now, we have given  :  cos3π/10 So , x = 3π/10

Q: 1 and which is in the interval [0, n] is y = 2 The angle y whose cosine is- radians.

A: Given, cos (y)=-12  where 0≤y≤πEvaluate y

Q: B. With the indicated condition, find all real values of x or angles that will satisfy the given…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: 5. Determine the value of sin(arctan(3)+arctan(2)) using the trig identity sin(A+B) = sin(A) cos(B)+…

A:

Q: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…

Q: Suppose, for some angle 0 drawn in standard position, tan(e) = -24/7 and sin(0) < 0. Find the exact…

A:

Q: Question in Image.

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

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.