Directions: Simplify the following identities. 7. csc'x - cotx + tan'x cosx - sin xcosx

Q: Verify the trigonometric identity.. tan x + cot x = csc X sec x

A: Given: The trigonometric identity tanx+cotx=cscx secx, To show: The given identity is true.

Q: 1-cos?x Simplify: sin²x

A:

Q: 9) Verify that the equation is an Identity. tan x + cot x = sec x cSC X +. +.

A: We have to find out

Q: sin "x cos“x dx cos²a 4.

A: We will use simple Integration technique to solve this question.

Q: Express cot2 x + csc2 x in terms of sin x and cos x, and simplify.

A: Given that, cot2x+csc2x --- (1)

Q: sinx , not hold? For what values of x does the quotient identity, tanx = Cosr

A:

Q: tan(a) cos(x)= | |help (formulas)

A: Simplifying the equation

Q: Verify that the equation is an identity: sec(x) - cos(x) + csc(x) - sin(x) - sin(x)tan(x) =…

A: Given,          secx-cosx+cscx-sinx-sinxtanx=cosxcotx

Q: Simplify cos x (tan x + cot x)

A: We have to simplify  cosx (tanx + cotx) Since ,  tanx = sinx/cosx &

Q: Use the addition formulas to derive the identity. 25) COS sin x 25) %3D

A:

Q: verify the identity tan(x/2) + cot(x/2) = 2 csc x

A:

Q: Simplify sin x + cos x cot x

A:

Q: Verify the identity. sin x = csc x + cot x 1-cos x

A: This question can be solved by appropriately arranging the given options in the blanks.

Q: Find the angles x such that cosx = 1/2

A: Consider the following trig equation         cosx=12

Q: Verify that the equation is an identity. In|sin.x| + In|sec.x| = In|tan.x|

A: We have to verify that the given equation is an identity: lnsin x+lnsec x=lntan x Solving the given…

Q: Simplify: cos(x+ ) + sin(x – ) 5.

A: The following formulae are used in solving the given expression.

Q: lim, 20 sin5x.cot2x = ?

A:

Q: show your work step by step and, Verify the identities. cosx+sinx tanx = secx

A:

Q: Verify that the equation is an identity. tan x sin x = cot x+ sec x csc X 1+ cos x 1- cos x

A: Given that  (tan x)/(1+cos x) + (sin x)/(1-cos x) = cot x + sec x csc x We have to prove the…

Q: If 0° < 0 < 90° and cos 0 = , find tan 0 using trigonometric identities.

A:

Q: Verify that the equation is an identity. tan x- sec*x =1-2 secx

A: We will use the following identity: sec2θ = 1 + tan2θ

Q: if sec 0 + tan0 = x,obtain the value of sec O,tan0 and sin0

A: We can solve this as per equation by using trigonometry formulas

Q: Simplify cos(x)tan(x)

A:

Q: Evaluate. | (sin (r))* (cos (x))“ dr

A:

Q: Evaluate: / [cos(x) – sin(x)]dr

A: To find:∫cosx-sinxdx

Q: I'm having trouble trying to understand and verify the identity:sin x csc/cot = tan

A: Given

Q: Complete the proof of the identity by choosing the Rule that justifies each step. 1 cotx (1+tan…

A: We have to find rule

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

A: Given:

Q: Prove the identity: tanx+ cosx = secx 1+sinx

A: Solution

Q: 9) Verify that the equation is an Identity. tan x + cot x = sec x CSC X

A:

Q: sec : tan/ sin :: cos :

A: As we know cos and sec are reciprocal of each other.  Therefore sec:tan/sin Then cos:sin/tan

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To prove identity: csc-x cos-x=-cotx Proof: We know that, csc-x=-cscx  and cos-x=cosx Simplifying…

Q: Complete the identity. 2. sinx+tan´x+cos x=?

A: complete the identity               sin2x + tan2x +cos2x=

Q: If cosx = -* and tan x> 0, the value of sinx is

A:

Q: Differentiate (sin x + cos x)2. (Hint: use the trigonometric identities)

A: We can make it easier for you

Q: Which expression is equal to 1/tan⁡ x+tan⁡ x using identities?

A: The trigonometric equations that can be used are as follows: 1.  1+tan2x=sec2x 2. sin2x=2 sinx cosx…

Q: Use trigonometric substitution to evaluate COs x dx

A: The given question is taken from the indefinite integral in which we have to find the value of the…

Q: Find the value of -1 tan cos -1 + tan V3

A: The given value is,tancos-112+tan-1-13

Q: Prove the identity. cotx cos.x+ sinx = cscx

A:

Q: Verify that the equation is an identity. 2 tan 1+ cos x

A: we know thatcosx=2cos2x2-1consider…

Q: What is tan x if csc x = -V34/3 and cos x < O? * V34 CSC X =

A: Given, cscx=-343 sinx=1cscx=-334 we know, sin2x+cos2x=1 934+cos2x=1cosx=2534=-534

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

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. cscx= tanx secx

A:

Q: Verify the identity. tan(y) csc(y) cos(y) sec(y)

A: To verify the given equation use the following formulas.

Q: Which expression is equal to csc x−cos x cot x using identities? sinx secx cosx tanx

A:

Q: Use basic identities to simplify sin r + cos2 a sin a.

A:

Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.