15) In right ABYE, ZY is a right angle. Cos(B) is . What is sine of ZE?

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: If r=In(sin2r), then dr is equal to

A:

Q: Substitute cos 60 = u. Differentiate with respect to e on both sides. sin 60 de = du

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: If sin A = with A in QII, find Cos 9 cos Cos COS Cos Cos 스2

A: cos2A +sin2A =1 cos(2A)=2 cos2A -1

Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

A:

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

A:

Q: (유) 8 Find the EXACT value of sin(A + B) if angle A is arctan and angle B is arcsin 17 sin(A + B) -

A: Given ∠A=arctan43 and ∠B=arcsin817. We have to find the exact value of sinA+B. Use formula,…

Q: To further justify the Cofunction Theorem introduced in theprevious section, use a calculator to…

A: Evaluate: sin(24.3∘) and cos(65.7∘) The given pair sin(24.3∘) and cos(65.7∘) is cofunction of one…

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: Suppose that cos 8 = 0.68. What is the value of sin(a)?

A:

Q: 4 4 cos* 0 de, correct to 4 significant figures 프4

A: The trigonometric identity is 2cos2x=1+cos2x. Use the trigonometric identity 2cos2x=1+cos2x in the…

Q: If csc(z) = 6, for 90° <z< 180°, then %3D sin () %3D «(금) cos tan(플) - ||

A:

Q: 26 13 13v3 What is the cos X of the triangle above? What is the cos Y of the triangle above?

A:

Q: 8 Find the EXACT value of cos(A – B) if angle A is arccos and angle B is arcsin 17

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: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

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 in right AABC with right angle at C, cos B : then what is the value of cos A?

A:

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

A: On solving this we will get

Q: 12 what is the value of sec 13 (a+ If sin a 13 and cos a

A: Given,            sinα=513 and cosα=1213To find : secα+π4

Q: If cotx = D. cos x = Z. and x is in quadrant II, then A. sinx || ! B. cos x C. sin a CTLA

A: follow next step

Q: 2. Find sin 2t if cos t and "<t<TT. 13 2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: If cos a = 0.565 and cos ß= 0.867 (both angles are acute),

A:

Q: 3. When instructed to find the length of ZY in right triangle YZX, Josh wrote ZY the equation sin 46…

A:

Q: If the terminal side of B contains the point (6, 8), what is the exact value of sin (8 7/2 10 V2 10…

A:

Q: In right triangle JKL, Which of the following 24 a. tan L = 24 b. cos L = 25 %3D C. tan] %3D 24 7 d.…

A:

Q: Suppose 0 is an angle such that cos(0) If 0 < 0 < T, then cos 5 2 and sin ) If п <0 < 2т, then cos 2…

A:

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: (금) 7 Suppose that is an angle in quadrant 3 and that cos y = Compute the exact value of sin 25 sin…

A: Given, cosγ = -725  γ2 is an angle in quadrant 3  We have to find the exact value of sinγ2.

Q: If 4 | sin*ea cos cx dæ 0, 35 then c=

A: H3 hhh y

Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D

A: See the details solution below

Q: If sec(α)=25.2/19.4, then what is the value of cos(α)?

A:

Q: If sin A = 65 with 180° < AS 270°, find cos 2A and cos 65 Cos 2A = COS 2

A: To find the value of the following,

Q: 2. If cos 4A = 23/49, find tan A %3D

A:

Q: 10. Show that if A ia an acute angle, sin²A+ cos² A = 1

A: This can be solved using triangle

Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

A:

Q: use a double- or half- form. to solue le equation angle [0, 2TT). in The interval [0, 21). 2 sin? ()…

A: Given,            2sin2θ=2+cos2θ

Q: 12 If tan(@) 0Sos, then %3D sin(0) equals cos(0) equals sec(A) eguals

A:

Q: If sin“ w – cos (-w) = 0, and 2 then w = (?) %3D - 3.

A: Given: Sin4 w- cos4 (-w)=0 and -π2≤w≤π2 To find out: w=?

Q: If y = cos*[sec? (30)], and (0 =5) y will be equal to? %D

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

Q: π If y = cos*[sec? (30)], and (0 y will be equal to? = ;) 9.

A: The given function is y=cos4sec23θ and θ=π9. Evaluate y' as follows.…

Q: if cos theta = x/2, then 1+that2 theta is equals to?

A:

Q: Tt/2 2 sin(2x) dx 4– cos(2x)

A: The solution is:

Q: By comparing e3i0 = cos 30 + i sin 30 with ( ei8)3 = ( cos 0 + i sin 0)3, find the "triple angle"…

A: Euler's rule: ei3θ = cos3θ + i sin3θ   -------------------Eqn (1) Also, (eiθ)3 = (cosθ + i sinθ)3

Q: Given that sin(a) = and cos(b) 5 with a %3D 4 sin(a + b) = %3D cos(a - b) = %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.

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.