2-tana 11. If Sin(x+ a) = 2Cos(x - a); prove that : tan x = 1- 2 tan a

Q: 1 sec A-tan Asin A = %3D sec A

A:

Q: -3t Compute the exact value of tan -3T tan 8.

A:

Q: .2 -If tan -1 = 0, then prove that x2 sin 2 a. %3D

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 12 cos(x) = 13 csc(x) < 0 sin(2x) =…

A:

Q: - sin ( 7 ) 2 What is the exact value of

A:

Q: 2. Find the exact value of sin(a + B) under the given conditions. 5 tan a = 12 코T< a< 프, sin ß = -,…

A:

Q: 2. What is the exact value of tan (-75°)? O 2-V3 O-2+ V3 O 2+ v3 O-2-V3

A: To find :  The exact value of tan(-75°). Note: To find the exact value apply the reference angle by…

Q: 7. What is the exact value of tan (-105°)? O -2 – V3 O 2 - V3 O 2+ v3 O -2+ V3

A:

Q: Verify the identity. sin 0-1 tan 0- sec 0 %3D cos e

A: Here we use basic identities of trigonometric ratios.

Q: Which of the following is equivalent to sin 0 tan 0 csc 0 for all values of 0 for which sin 0 tan 0…

A:

Q: 4. sin 20 + cos 0 = 0 on the interval [0, 27) *Hint: use Double Angle Formula

A: sin(2θ)+cos(θ)=0We know that ,…

Q: a) Show that sin¯'x + cosx = 2 E) - tan-' (). x(x-y) y(x+y) (b) Find the value of tan1 where >-1…

A: We can solve these two question by using the properties of inverse trigonometric function as below.

Q: (a) i) Prove that 1 sin20 1 tane 1+ sin20 1+ tane for 0<0 <- 4 ii) Hence, show that the exact value…

A:

Q: 3. Prove that the identity is true. sin*t- cost = tan²t-1 cos't

A:

Q: 6 what is sin(-x)? 7 Given that sin(x) Provide your answer below: sin ( – x) =

A: Given  Sin(x)=6/7 Sin(-x)=?

Q: Prove sin?x tan²x – cos?x = sec²x - 2

A: To prove : sin2x tan2x - cos2x = sec2x - 2

Q: 7. Consider the identity 2 tan z 1+tan² z= sin(2r). (a) Verify the identity. (b) Find sin (4) if tan…

A:

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

A:

Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

A:

Q: 2/2 and <x< 3 Зл find tan 2x. 2' 4. If sin x

A:

Q: coS X sccr+ tan x 1- sinx

A: given,        cosx1-sinx=secx+tanx

Q: (2k + 1). True or False tan 0. cos 0 = sin 0 for any 0 + %3D

A: Given :            tan θ . cos θ = sin θ for any θ ≠ (2k + 1)π2.  To state true or fase.

Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

A:

Q: 5л Compute the exact value of tan ( + 4 ). 6.

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given tan(x) = -, cos(x) > 0 %3D sin(2x) = %3D cos(2x) =…

A: Given: tanx=-16,   cosx&gt;0 sin2x can be calculated as, sin2x=2tanx1+tan2x          =2×-161+-162…

Q: TT True or False tan 0 • cos 0 sin 0 for any 0 # (2k + 1) %3D

A:

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

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant I. 3 sin 2x !! cos 2x tan 2x…

A:

Q: .2 Determine the value of sin x + cos x for x = 30 degrees.

A: The given expression sin2x+cos2x for x=30 degrees.

Q: 17) Establish the identity. 1+ tan?(-0) = sec² 0 %3D

A: Properties of trigonometry used :- 1.) tanx = sinx / cosx  2.) sin2x + cos2x = 1  3.) cos (-x) = cos…

Q: 3元 What is the exact value of sin ? Show your work. 2

A:

Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

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

A:

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0&lt;x&lt;2π is:   The graph of cosx for 0&lt;x&lt;2π is:

Q: Verify the identity. sin(x) tan (즐) = 1 - cos(x) .2

A:

Q: 1) Prove that cose-sin*e 1- tan?e cose

A: Trigonometric identities help to prove the required expression. The algebraic formula…

Q: 5. Which expression is equal to tan z-1 using identities? tan r+1

A:

Q: if tan(x)=A, sin(x)=B, cos(x)=C, then a.sin( -x) _______ b.tan(-x ) _______ c.sec(-x ) _______…

A:

Q: If csc(x) = 3, for 90° < x < 180°, then sin() V2 1 V6 2 COS 2 V3+2v2 V6 V 2 - 1 tan 2 V 3 + 2v2

A:

Q: b. use tand=-1 d. cusd- e. f. sin--

A:

Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

A:

Q: Derive the formula for Sin(A-B) (Hint: use formula Sin(A+B) and even/odd functions

A:

Q: tx)+ Sin(꼴-)- -26S X %3D Prove sin

A:

Q: What is the exact value of sin ( cos (-)) + tan- (sin (5))? 2/2-a 4 -2v2+x 2/2+ -2V2-n 4.

A:

Q: TT CoS-+COs sin 3 = sin Prove that Sin 3 - 6. 6. 2.

A:

Q: Verify the identity. 2 tan(x) 1 + tan?(x) sin(2x)

A:

Q: 10) sin? tan x-sinx %3D 2 2 2 tanx

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.