(sec(0) – tan(0))² +1

Q: Rewrite sin(x+5π6) in terms of sin(x) and cos(x)

A:

Q: tan? x 1+ 1+ sec x

A:

Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

A: Solution:-

Q: 1. Simplify the expression tan? x 1-sec2 x

A: The given expression is tan2x1-sec2x.

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

A:

Q: n of the coefficient/s when we evaluate (sec(x) - tan(x))²dx

A:

Q: 1+ cos(x) (c) 1+ sin(x) tan dx Hint: Use the substitution t

A:

Q: Simplify

A:

Q: Rewrite the expression as an algebraic expression in x. sin(tan-1(x)) Need Help? Read It

A:

Q: tan'0 +1 3 tane+1

A:

Q: Solve the equation below. tan x + 2 sin x = 0 if 0 < x < 2n. А. п/3, 51/3 В. п/4, Зп/4 С. 7π/6,…

A: Using the trigonometric ratio, it can be written that .

Q: Rewrite sin in terms of sin() and cos(x). 6

A:

Q: all values 2 sin x – 1 = 0 -

A:

Q: Rewrite the expression as an algebraic expression in x. cos(tan-(x))

A: Given cos(tan-1(x)),

Q: Rewrite sin(x+ 7) in terms of sin a and cos I. Enclose arguments of functions in parentheses. For…

A:

Q: Evaluate sin? 3x lim X0 1- cos 2x

A: The objective is to evaluate limx→0sin23x1-cos2x Since, limx→0sin23x1-cos2x is 00 form.

Q: Verify the identity. (Simplify at each step.) tan? x = tans x sec² x – tan5 x tan? x = (tan5 x)( =…

A: Here, to verify the identity: tan7x=tan5x sec2x-tan5x

Q: Rewrite the expression as an algebraic expression in x. tan(sin-1(x))

A:

Q: sec2 xdx tan? x + 4

A:

Q: Rewrite sin(x+2π/3)in terms of sin(x) and cos(x).

A: sin(a+b)=sin(a) . cos(b) + cos(a) . sin(b)

Q: a. [CO²2 2 cos²x√4 tan x tan² x da

A:

Q: 4tan e sec ede tan0-2 tan 0 –15

A:

Q: sec? x-1 sec2 sin“ x

A: We need to verify the identity sec2x-1sin2x=sec2x. So,          Manipulating left side…

Q: Write the expression as an equivalent algebraic expression involving only x. (Assume x is…

A:

Q: 2-5cos@ do sin e

A: Given integration is: ∫2-5cosθsinθdθ To find the value of integration.

Q: 2. Write the expression in terms of x and y only. tan(2 cos-1 3x)

A:

Q: )-tan (-V3) 4. Find the exact value of expression sin cos -1 /2 2

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Q: Rewrite sin x + in terms of sin(x) and cos(x). 3

A: We will use the below trigonometric identities to solve this

Q: Rewrite sin x + in terms of sin(x) and 4 cos(x).

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=5π4

Q: Rewrite the expression as an algebraic expression in x. cos(tan" (x))

A: Given: costan-1x

Q: sin' x -du u cos x =-[u-3u²+3-u' du

A: ∫sin7xcos4xdx We have to find the above integral.

Q: 32. tan' 0 sec' 0 d0 3

A: To evaluate ∫tan3 θ sec3 θ dθ

Q: sin[cos^-1(12/13)+tan^-1(4/3)]

A: Given:

Q: Rewrite sin( x in terms of sin(æ) and cos(x). 6

A:

Q: 14. An expression that is equivalent to sin 2x is 1- cos 2r tan r

A:

Q: Find the value of sec(). Enter an exact answer.

A: Find the value of We know that sec(x)=1/cos(x)

Q: 3. tan-'(x +) 2 4

A:

Q: Write the expression as an algebraic expression in x for x &gt; 0.

A: sin(tan-1x) Now let  t = tan-1x            ⇒ tan(t) = x            ⇒ sin(t) =  x1+x2…

Q: 4. Simplify the expression an+cot - sec²x O-tan² x Osec² x tan²x

A:

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

A:

Q: sec2x X (OT X-(07X =tan X

A: We know that: cotx=cosxsinx  and  sin2x+cos2x=1.

Q: tan(cos-1(x/4))

A: We will consider a right triangle where adjacent= x and hypotenuse= 4 In this triangle

Q: sec?(0) tan (0) de

A: Follow the procedure given below.

Q: 5. Does cos(x) = x³ have a solution? Explain. %3D

A:

Q: Simplify the identity: : sin2 x cos x Cos 2 x sin x

A: given trigonometric identity  Sin2x.cosx/cos2xsinx  Can be solved by using formula as shown below

Q: rewrite the expression as an algebraic expression in x.  sin (tan-1 x)

A: Given,           sintan-1x

Q: 2. cos ?x + 10cosx - 9

A: The solution for the above question is below as shown.

Q: What are the two formulas for tan (A/2)

A: tanA2

Q: .csc(2x + :-2, where x € ( =) 4 - sin? () + cos²x = 1,where x € [0, 21) %3|

A: This question is related to trigonometric functions. Solve in step2.

Q: tane- cose

A:

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.