A right-angled triangle xYZ has an angle, o, where sin o = 5. Without evaluating &, calculate the exact value Gn surd form Pf applicable) of COS U b. sin 20

Q: Given that " = n, sin (x) dx 3 -T, what is 8 sin (0) de?

A:

Q: Q5. If coshx = csc20, prove that 0 = n+ cothe¯. [Hint: use identity sin(2a + 2n)] %3D

A: given that                                                                             coshx=csc2θ…

Q: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: Find the exact value ofcos(α+β)under the given conditions.   sinα=15/17, 0<α<π/2​;…

A:

Q: If sec A = V37 with 0° SA S 90°, find sin 2A and sin 4. sin 2A = sin

A:

Q: To evaluate the integral sin³0cos ede by trigonometric transformation, we use the identity; 1-cos20…

A:

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

A:

Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x.…

A:

Q: a +beta)= cos(alpha+beta)= alpha +beta is in quadrant? sin(alpha-beta)= cos(alpha-beta)=…

A:

Q: Given that (1-cos(Theta))/2=0.7, find sin^2(THETA/2)

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: .

A: The given matrix is,

Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

Q: If x = 2 sin 0, express cot 0 in terms of 1. %3D

A: Given;                      x=2 sin θ Divide 2 to both sides                      x2=2 sin θ2…

Q: Find sin(2x), cos(2x),and tan(2x) from given information. sex(x)=6 , x in Quadrant IV • sin(2x) =…

A:

Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

A:

Q: Recall that sin² e means (sin 6)2. 2 If sin e = find sin? e. sin? e =

A:

Q: (b) в — р2'а, + psin'ф а, + 2pz sin' ф а, sin²o as + 2pz sin*ф а,

A: The complete solutions are given below

Q: The value of the expression cos z - tan z – 9+ sin z+ secz is

A: given expression is…

Q: a) By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x - 4 sin°x.…

A: Evaluation of the definite Integral

Q: If sec(0) and 0° s 0 < 90° , then the exact value (fraction) of sin(0) = %3D cos(0) = %3D tan(0) :…

A:

Q: 3. Using the fact that sin 2a = 2 sin a cos a, and the fact that 0 = 2a, rewrite the area of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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

A:

Q: 1) Evaluate. x cosh ax dx

A: As per guideline we have to solve one question

Q: Find the approximate value of csc 46° and sec 46°, given that sin 23° 0.3907.

A: We have to find out

Q: Given that sin-(x) = a and cos-(x) = B show that sin(a + B) = 1. %3D

A:

Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

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: Approximate to three decimal places.

A: (a) sin 73°20' Convert minutes into degree. 2060=13=0.3° Therefore: sin…

Q: It is given that the smallest positive value of æ satisfying 3 sin 2a tan z is x = e radians. Select…

A:

Q: 19. An equivalent expression for sin 0 cot 0 is sec 0 tan 0 O cos 0 O sin e

A: Here we have to find the equivalent expression for the given expression sinθcotθ

Q: If cosA = −4/5 with A in QII, find sin A/2 .

A:

Q: The smallest positive number for which sin(2x) – sin z = 0 is z = %3D Hint: Apply a multiple angle…

A: We have to solve the trigonometric equation: sin2x-sinx=0 We know that sin2x=2sinx cosx So,…

Q: given 3 given sinx -, fnd secr, tand with draw a that

A: dear student we are allow to do one question at a time if you need rest of answere then please…

Q: DO NOT include spaces in between characters. * and csc 0 <0, find sin 20. 3 Let cos e

A:

Q: 5) prove that = sin 'x +e using method of trigonometric substitution.

A: To Prove- Prove that ∫dx1 - x2 = sin-1x + c using method of trigonometric substitution.

Q: Given that = sec-(-V13/2), find sin x, cos x, tan x, csc x and cot x.

A:

Q: c) y = sin-1 d) y = V2 = arccos

A:

Q: For a small angle 0, where 0 is in radians, show that 2 cose+ (1-tan e) 3-20. Hence determine an…

A:

Q: Find the exact value of sin​(u​-v) given that sin u= 5/13 and sin v= 8/17​, with u and v in quadrant…

A: In the question we have to find sin(u-v).Where u and v are in first quadrant.

Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

A:

Q: Given that sin 0 = 0.3625 and 0 is in quadrant I, find sin 20. ... sin 20 = %3D (Round to four…

A: To find the value.

Q: that the left hand side of the equation is equivalent to the right hand side. 1- - sin cat Steps:…

A:

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: 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: Find two angles in the interval [0, 360°) such that sin(x) = -0.61566 %3D

A:

Q: 3 If sin t and t is in the 2mnd quadrant, then 8 i) tant = ii) sec t = %3D

A: Given:         sin t=38   t is in 2nd quadrant.