6. Prove the identity 1 (cscA- sinA)(secA – cosA) tanA + cotA

Q: Prove the identity. cos (x+y) =1- tanx tany cosx cosy

A: Given L.H.S is cos(x+y)cosx.cosy We know that cos(a+b)=cosa.cosb-sina.sinb substituting the formula…

Q: in−1(x) + cos−1(x) =  ? 2

A: Given that : The equation is sin-1 (x) + cos-1 (x) = π2 .

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

A:

Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx

A: The given expression is: 11-sinx+11+sinx=2sec2x Verify the above equation. Here we used the…

Q: Prove that: 1-tan? 0 cos? 0 - sin? e %3D 1+tan? 0

A: A function is said to be a rational function if it is given as the ratio of some values.  The…

Q: 25. Verify the identity. cos (-0) 1+sin (-0) sec 0 + tan 0

A: here is the proof

Q: Prove the following identities 1- sine (sece-tane) 1+sine

A:

Q: Prove the following identities: sin 6+ sec 0) +(cos 0+ sece) = (1+sec0 cosece)

A: We can easily prove this given identity shown below

Q: 10. Prove the identity: 2 + cot² (x) _ 1 = sin² x - csc² (x)

A:

Q: 1. Use de Moivre's theorem to express sin50 in terms of powers of sin.

A:

Q: 1. Prove cos 8-sin 8 cos 8 + sin e = sec 28 tan 20.

A:

Q: ) A)= show that sn A-esA z|-Sin 2 A exact value of Sinis- losis Hence. find. the.

A: i To show that, sin A-cos A2=1-sin 2Aii To find the exact value of sin 15°-cos 15° by using the…

Q: DO NOT include spaces in between characters. 2 and csc 0 <0, find sin 20. 3 Let cos 0

A:

Q: II. Find tan (A +B) and tan (A - B) if: 5. cos A = - and sin B =, both A and B in QII.

A: As per bartleby guidelines we only give first question answers.

Q: 1) Prove that sin 0 tan 0 + cos 0 = sec 0.

A:

Q: Prove the identity. cos (x+y) 1- tanx tany cosx cosy

A: We need to prove the following identity cosx+ycosx cosy = 1-tanx tany

Q: 3. Prove the identities following identities. 2tanx sin2x %3D 1+tan²x

A:

Q: Determine the following: (a) sin^−1(√2/2) (b) cos^−1(−1/2) (c) tan^−1(cos(1/2)) (d)…

A:

Q: III. Verify the identity. 5.) 1-Cos 2x tan?x %3D 1+ cos 2x

A:

Q: 3. Prove that the identity is true. sin*t - costt tan-t– 1 cos't

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

Q: Prove that : (cosec?? − sin??)(sec?? − cos??)(tan?? + cot??) =1   Prove that √sec2 + cosec2 = tan…

A:

Q: . Suppose csc(A)· where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D a) First…

A: Note the trigonometric identities :

Q: 3. Prove the identity : sin(x- y) tanx - tany cosxcosy

A: The given identity is, tanx-tany=sinx-ycosxcosy The identity will be true if the left-hand term will…

Q: 2. Prove using the angle sum identity of sine: sin 90° = 1.

A: 2- Given- sin90°=1 To prove- The above expression using sum identity of sin. Identity Used-…

Q: A. Let tan u = 3 and cos u < 0, find the exact values 1.tan 2u 2. tan u/2 3. sin 15

A: Given: tanu=3 To find: tan2u tanu/2 sin15

Q: Prove the identity: sin (x-y) tanx- tany cosx cosy

A:

Q: 37. Establish the identity. 2 csc u sin u - cos u = sin

A:

Q: Find 2 angles (rounded to the nearest 10th of a degree)in the interval [0, 360ﾟ) that satisfy Cos…

A:

Q: 3. a)Prove the identity tan20- sin20 = sin²0 tan²0

A: We have to find the following conditions

Q: 9. Verify the identity. (1–cos² x)(csc x) cot x 2 sin x(tan x) a)a

A:

Q: 3. Prove the identities following identities. tane sine + cos0 = sece

A: Given identity is tan θ ·sin θ+cos θ=sec θ   It is known that tan θ=sin θcos θ, sec θ=1cos θ Also,…

Q: 8. Prove that tan? 0 + cos? 0 + sin² 0 = sec² 0. %3D

A: Explanation and solutions is given below....

Q: 9. (6 points) Verify the following identity. sin 0 cot 0 + csc 0 1+ Cos 0

A:

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: 8) Prove the trigonometric identity. (sin z + cos r)? = 1 + sin (2r)

A:

Q: sin 2x 5. cot x = 1- cos 2.x

A:

Q: 7. Consider the identity _2 tanr 1+tan z sin(2r). (a) Verify the identity. (b) Find sin (4) if tan…

A:

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

Q: Verify the identity: tan 2t = 2 sin t cos t sec 2t.

A:

Q: (a-B) (at sin (a+B) 2- show that cosa – cosß = -2sin 2.

A:

Q: 2 Convert r = to rectangular form. 7 sin 0 COS

A:

Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

A:

Q: a1/ Prove that 1+ sine tane + sece - 1 tane - sece +1 cose

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

Q: Prove the identity. cos (x+y) = 1 - tanx tany cosx cosy

A:

Q: Q1- Show that cote)+tan(e) a. cofe)-tan(9) sec(20) b. sin(36) = 3 sin(@) - 4sin (0) = Se %3D

A:

Q: Use Trigonometric identities to show that cos(2θ) + 2 sin2 (θ) = 1

A:

Q: (3) Prove that Sina cos a -Sinß cos B sin cos B sinß cosy sin(2+ B+y)

A: We have have to solve given problem:

Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

A:

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.