Simplify the following to Single trigonometric fufiction: 7. 2- Sec (x) +)ニ - tan? (x)

Q: Given that sinX is -4/5 in Q4 find tan2x

A:

Q: Complete the statement by referring to a graph of a trigonometric function.

A: a) As x→0+, cosx tends to? Now Graph the function: y=cosx From the graph, we clearly see that, The…

Q: Find the exact value of the expression. sec tan 9.

A:

Q: Write the following in terms of sin θ only. ​sec θ

A:

Q: Simplify the first trigonometric expression by writing the simplified form in terms of the second…

A:

Q: Use the sin/cos complementary relationship to determine which of the following expression is also…

A:

Q: Write an equivalent expression for cos4 x that does not contain powers oftrigonometric functions…

A: Given cos4 xUse the formula cos 2x=2 cos2x-1                      ⇒cos 2x+12=cos2x

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

A: Use the Pythagorean identity

Q: Find he principal valeier of the folousag (@) tanG) (6) Cos ) co tan 62) चिम्य ख

A: Given: tan-1-1, cos-112, tan-13, cos-1-12 we know that tan-1-x=-tan-1x…

Q: what is the exact value of sec(pi/6).

A:

Q: Calculate the following. a. sin cos" (-) c. tan-(1)

A: To calculate the following trigonometric values of the functions.

Q: Which of the following is not equivalent to sin 0?

A: We are asked to find which is not equivalent to sinθ

Q: Find the algebraic expression that is equal to sec theta- cos (-theta)

A: We know thatcos(-θ)=cosθ

Q: Simplify the first trigonometric expression by writing it in terms of the other expressions only.…

A:

Q: Write the following as an algebraic expression in x, with not trigonometry. Assume x is positive.…

A:

Q: Write an equivalent algebraic expression that involves x only  tan   ( sin  -1 1/ x)

A: To write the equivalent algebraic expression in terms of x.

Q: without using the calculator evaluate : sin ϴ, cos ϴ, tan ϴ of  a) 450° b) 10pi/3

A: Calculation:a)Compute the value of sin (450°) as follows.

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A:

Q: find the exact value tan[2cos-1 (1/5)] no decimal

A:

Q: The expression 1 + tan² x is equivalent to

A: Here given expression 1+tan²x we know that tanx = sinx/cosx and sin²x+cos²x=1 So tan²x = sin²x/cos²x…

Q: Write the following in terms of sin θ only. cot θ

A: Consider the given expression.

Q: sin (- ): %3D 4 II

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the exact value by using a difference identity. tan 195°

A:

Q: Question in image.

A:

Q: Without using a calculator, evaluate the following expressions as shown.

A: we know that tanθ=3 when θ=π3 for θ∈-π2,π2

Q: Solve for x from the given trigonometric equation:  arcrtan (1-x)+ arctan (1 +x) = arctan1/8

A: Given that: tan-1(1-x)+tan-1(1+x)=tan-118

Q: "풍 2 secx dx tan³x + 4 tanx

A:

Q: Evaluate the following expressions. sin (tan-(1)) cos (tan-(0))

A: We need to evaluate the given expressions sintan-11costan-10

Q: without using the calculator evaluate : sin ϴ, cos ϴ, tan ϴ of  a) 450° b) 10?/3

A: Since, 360 degrees + thita lies in first quadrant, so values of sine, cos and tan is positive as…

Q: If cosA=(sqrt5)/5 with A in Q1 and tanB=3/7 with B in Q1, find cos(A+B).

A: If cosA=(sqrt5)/5 with A  and tanB=3/7 with B , find cos(A+B)

Q: tan(los +1(-)

A:

Q: Simplify sin(x−π/2) to a single trig function using a sum or difference of angles identity.

A: Given expression

Q: Use the power-reducing formulas to rewrite sin6 x as an equivalent expression that does not contain…

A: Given: y=sin6x for reducing power, we simplify given expression so, y=sin6x=sin3x2…

Q: Find the exact value of the following expression. DO NOT give a rounded decimal as your answer. tan(…

A:

Q: If sin x tan x > 0, find the other 5 trigonometric functions. %3D 13

A: A detailed solution is given below

Q: cos4 cos* x

A: Follow the procedure given below.

Q: Simplify to an expression involving a single trigonometric function with no fractions. cos( – x) - +…

A:

Q: If csc(x) = 2, for 90° < a < 180°, then sin coo() - [ Cos tan (플)- 0 2 || |N

A:

Q: which one is cosx * cotx + sinx equal to? a- tanx b- secx c- cscx d- cos^2x e- none of these

A: We replace cotx by cosx/sinx

Q: The expression sec (z) - tan (z) is equivalent to

A:

Q: fo= tan(sin 3x) (x)

A:

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A: The key step to solve this question is use the formula- Cos2x=(1+cos(2x))/2

Q: Find the exact value of the expression below. tan() + tan() 2T 1 – tan() +tan( 15

A:

Q: entify the other five trigonometric functions if sec A =- 3 and tan >0

A: Given query is to find trigonometric functions.

Q: By using trigonometric substitution そる x = 2 tan A 4+1

A: see 2nd and 3rd step.

Q: cas 5Tm 3w + sin tan tan

A: We will use the values cos 5π6 = cosπ-π6= -cosπ6= -32tan π6 = 13sin5π3 = sin 2π-π3= -sin π3= -32tan…

Q: Using an appropriate substitution | tan³x sec7xdx is equal to

A:

Q: Simplify to an expression involving a single trigonometric function with no fractions.…

A:

Q: Evaluate the following expression when x is π/6. Use exact values. sin 2x

A:

Q: Simplify the trigonometric expression. 2 + tan2(x) sec?(x)

A: Given:

Q: Which of the following is equal to sin (0 –- )?

A: Given: sinθ-π3 we know that sinA-B=sinAcosB-cosAsinB                                   ..1

Q: Find the exact value of sec(arcten 2/3).

A: Let a = arc tan 23. Then       tan α=23 Using; 1+tan2 α=sec2 α⇒sec α=±1+tan2 α

Q: Use the power-reducing formulas to rewrite the expression sin2 x cos2 x as an equivalent expression…

A: Given expression sin2xcos2x  To rewrite the expression  sin2xcos2x as an equivalent expression that…

Q: sin /s dx 18.

A:

Q: Use the appropriate reciprocal identity to find the value of sin(0) , if csc(0) = 9. Give your…

A: We know that, from the trigonometric identities given as sinθ=1cosecθ                    ⋯⋯1 We…