State the Pythagorean Identity and use it to complete the following: 3 If csct =- and tan t > 0, use the Pythagorean Identity to find sect. Justify your value with work.

Q: Without using a calculator, evaluate the following expression or state that the quantity is…

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Q: Verify that the following expression is an identity by simplifying one side of the equation to equal…

A: Given, cotx+tanx=secxcscx

Q: Find the exact value of the expression, tan [arcos( - )

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Q: 3. sin (tar" () -1 4. cot(csc-(-3))

A: To find the exact value.

Q: Use half-angle formulas to find exact values for each of the following.     tan 165    0

A: we have to use half-angle formulas to find exact values. tan 1650

Q: Approximate, to the nearest 0.01 radians, all angles in the interval [0, 27) that satisfies the…

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Q: Find the exact value of each expression.

A: Given : The expression is sin π2 - tan 19π4 .

Q: Use Pythagorean identities to find the value, zoom in 9/2 and secA < 0. 8 Find cosA and tana if cscA…

A: We can find the answer as below

Q: Suppose that Ө is in standard position and   is on the terminal side. Find the exact value of a) r…

A: Given Ө is in standard position and   is on the terminal side.

Q: find the exact value of each expression.

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Q: Given that cosa * and sing is negative, determine the value of tane. -15/8 15/8 8/15

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Q: Which of the following is equivalent to tan ? tan(품) cot () tan tan

A: tan(5π/6)  = ?

Q: 1+ tan² ß tan² ß csc B

A: We use Trigonometry identities to solve this Question

Q: Without using a calculator, evaluate the following expression or state that the quantity is…

A: To Determine: Without using a calculator, evaluate the following expression or state that the…

Q: Perform the indicated operation and simplify the result. tan x( cot x- cscx) The answer is .

A: Given:            tan xcot x-csc x Apply; cot x=cos xsin x and csc x=1sin x           =tan xcos xsin…

Q: Use the Half-angle Formulas to find the exact value of each expression. tan 7π/ 8

A: Known fact: tanx2=±1-cosx1+cosx.

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume…

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Q: 17. tan (cos x)

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Simple trigonometry problem.....

Q: Given the expression below, what is the value of tan O? * sec20 = x² + 1,

A: Given sec2θ=x2+1. To find tanθ. Solution: We know that, sec2θ-tan2θ=1 So, we have…

Q: photo attached

A: Given:

Q: If x = 9 tan 0, write the expression sin 20 in terms of just x. (Simplify the double angle using a…

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Consider the given trigonometric expression sinx+tanx1+secx

Q: Determine the exact value of csc2x if tan?x 36 25 * <x< 2n. Include any/all necessary diagrams

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Q: 8T tan 3.

A: using properties of tanx

Q: What is the expression that completes the identity tan(x)+cot(x)

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Q: If tan (x) is multi valued what quadrant will it be in

A: According to question multiple-valued function is a "function" that assumes two or more distinct…

Q: Use the equivalent forms of the first Pythagorean identity If sin θ = −3/5 and θ terminates in QIII,…

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Q: Given that tan(x)=−3.4, what is tan(−x)?

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

A: Given, x→π4+ limx→π4+cosx cosπ4=12 function is continous so limit is same as x=π/4

Q: Use the following triangle to find tan 0. 5 34 NOTE: Enter the enact, fully simplified and…

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Q: In which quadrant is Olocated if tan 0 > 0 and cose < 0?

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Q: If A + B + C = 180 and tan A + tan B + tan C = 5.67, find the value of tan A tan B tan C

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Q: 13T , then find exact values for the following: 6. If 0 = sec(0) equals csc(0) equals tan(0) equals…

A: Here I am attaching image so that you understand each and every step.

Q: Use the angle sum or difference identity to find the exact value of each. 7. tan 15°

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Q: Make a table of ordered pairs using values of θ that are multiples of 45°. r = sin(2θ)

A: Given that r = sin(2θ) θ (r,θ) 0 (0,0) 45 (1,45) 90 (0,90) 135 (-1,135) 180 (0,180)…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: Given that tan x = of cot x and cscx. 2 3 and 90° < x < 270°, find the value

A: Given tanx=-23We know that,sec2x=1+tan2xsec2x=1+(-23)2 sec2x=1+49sec2x=139Taking square root on both…

Q: Through the simplification of The expression tan(sec-1x) Which of the following triangles will be…

A: We use the Pythagoras Theorem on right angled triangle.

Q: Given that secx = 3 and 0° < x < 180°,find the value of cosec x and cot x.

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Q: simplify by referring to the appropriate triangle or trigonometric identity. tan(cos−1 x)

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Q: 24. Prove the identity csc? 0 tan? 0 – 1 = tan? 0

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Q: Write the given expression as the tangent of an angle. tan 7x – tan x 1 + tan 7x tan x

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Q: Through the simplification of The expression sec(tan Which of the following triangles will be used…

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Q: Write the following in terms of sin x and cos x; then simplify if possible. csc x cot x =

A: Here we write csc x cot x in terms of sin x and cos x .

Q: Use the triangle inversion to take the statement y = cos-1x and determine a value for both tan y and…

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