Use identities to simplify the expression completely. cot x sec x sin x O sec'x 0 1 O None of these answers

Q: sin x+ cos x-sin'r 9) 5) = cot x+ cos' x sin x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Verify that the equation is an identity. cot 0 cos 0 cos 0 81. cot 0 - cos 0 1- sin 0

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: Use the quotient and reciprocal identities to find sin 0 exactly given: 8. sec 0 | 3 V55 tan 0 = 3…

A: Given- secθ=-83 and tanθ=-553 To Find-  The value of sinθ using quotient and reciprocal identity.

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 3…

A: The given identity,      3 cot(x)sec(x)=3 csc(x)-3 sin(x)

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 4…

A: consider the identity LHS= 4cot(x)sec(x) 4cot(x)sec(x)=4cos(x)sin(x)1cos(x)             (Using…

Q: If Sin 0= 3/5 , find without using tables the values of: i) Cos 0 ii) tan 6 (ans.: i) 4/5; i) 3/4)

A:

Q: Verify the ff. identities: cot 0 – sin 0 sec 0 6. - cos? 0 – sin? 0 %3| - sec 0 csc 6

A:

Q: Prove the identity. (sec?x-1)cos'x= sin?x Note that each Statement must be based on a Rule chosen…

A:

Q: 2) Use double-angle formulas to help you prove the identity below. sin (20) 1+ cos (20) tan 0

A: The main objective of the question is to prove RHS = LHS by using double angle formula.

Q: Verify the identity sin 2t - cot t = -cot t cos 2t.

A:

Q: Match the trigonometric expression with its simplified form. sec2(x) – 1 sin²cx) O sec?(x) sec(x)…

A: Use the Pythagorean identity

Q: Verify the identity. SHOW ALL STEPS! 4. sin x + cos x cot x csc x

A:

Q: Evaluate using the Pythagorean identities. Find sin 0 and cos 0 if tan 0 = 1 and sin 0> 0.

A:

Q: Verify the identity. sin(8) 1 - cos(8) cot(0) + csc(0)

A:

Q: If sin 0 = a and cos 0 = b, represent each of the following in terms of a and b. a. sin(-6) +…

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)…

A: Given :               To verify the identity                  cot x / sec x  =  csc x - sin x

Q: If sin x = , x in quadrant I, then find (without finding x) 3 sin(2x) cos(2x) tan(2x)

A:

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) csc(x)

A:

Q: Find the exact value of each expression, if it is defined. Express your answer in radians. (If an…

A:

Q: 4. Which expression is equal to tan + ot using identities? sec csc a tan + cot x sin x + cos 2 tan…

A: Given the expression,      tan(x)/sec(x) + cot(x)/csc(x)

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 6…

A: To verify the trigonometric identity.

Q: Use the identities to find sin(x) and cos(x) if cot(x) =1/5 and cos(x) >0

A:

Q: Use a double-angle formula to rewrite the expression. 16 sin x cos X

A:

Q: Sin t = 3/5, cos t = 4/5 are given. Use identities to find tan t, csc t, sec t, and cot t. Where…

A: Given: sint=35, cost=45 we know that tanθ=sinθcosθcotθ=cosθsinθsecθ=1cosθcosecθ=1sinθ

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 9…

A:

Q: If 0=30°, find the exact value of each expression below. (a) sin (-0) = [ %3D (b) sin 20 = | (c)…

A: (a) The given expression is, sin-θ=sin-30=-sin30=-12

Q: Verify that the equation is an identity: sin (0-4) -Cos 0 nd the exact value of each expression. tan…

A:

Q: cos (0) + sec (-0) tan(0)sin (20) 5. Simplify the following expression:

A: Simplify the following expression

Q: Use identities to find the value of the expression. (0-) If sin 0 = 0.72, find cos (- 0). 2 cos (-…

A:

Q: Use the fundamental identities and appropriate algebraic operations to simplify the expression. cos…

A: We have to find the expression

Q: verify the trigonometric identity: cos x csc x/cot^2 x=tan x.  show adequate steps for me to follow

A: Given,           cosxcscxcot2x=tanx

Q: Prove the identity. sin(x - ) - -cos(*) Use the Subtraction Formula for Sine, and then simplify. sin…

A: Given that, sinx - π2=-cosx We have to prove this identity. We know that, The substraction formula…

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) sec(x)

A: Given:

Q: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

A: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

Q: 2 sin x cos X tan(2x) = %3D 2 cos? x - 1

A:

Q: Verify the identity. sec(t) – cos(t) = sin²(t) sec(t) Use a Reciprocal Identity to rewrite the…

A: We have to use trigonometric identities to solve the problem

Q: Use a double-angle formula to rewrite the expression. 18 sin x cos x

A: We have to find function

Q: If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and x/2, evaluate the expression using…

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 3…

A: Verifying the identity

Q: sin t = 2/3, cos t = √5/3 are given. Use identities to find tan t, csc t, sec t, and cot t. Where…

A: Given:sint=23cost=53

Q: Verify the ff. identities: cot 0 – sin 0 sec 0 6. 2 cos? 0 – sin? 0 sec 0 csc 0

A: Definition used -                       cotθ =cosθsinθ ,secθ=1cosθ, cscθ=1sinθ

Q: Prove the identity. sin (x+y)+ sin (x-y) =2 sinx cosy Note that each Statement must be based on a…

A: Consider the identity  sinx+y+sinx−y=2sinxcosy

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 <0< 9…

A:

Q: Зл then find exact value for (without solving for x) 2 If cot(x) = and A<x< a. sin(2x) b. sin

A: We know that: cot x=1tan xsin 2x=2tan x1+tan2xsin x2=±1-cosx2

Q: Use an appropriate identity to find the exact value of the expression. sin (165°) -N2Wa+1) 4

A: Consider the given expression: sin (165°)

Q: Determine whether the equation is an identity. If it is an identity, prove it.   (sin x)/(1 - cos x)…

A: Given,

Q: Prove the identity. sec?x (1- sin?x)=1 Note that each Statement must be based on a Rule chosen from…

A: By using trigonometric formula, we prove the given Identity.

Q: Match the trigonometric expression with its simplified form. cot(x) sec(x) O sec²(x) O csc(x) O…

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.