Verify the identity. (sec(x)- 1/sec (x) +1) - (sec x +1/ sec x -1)= -4csc(x) cot (x) First, Rewrite the left-hand side of the equation with a common denominator Then, Expand the numerator and denominator. Then simplify the numerator. Then, Rewrite tan2 x in terms of sine and cosine.

Q: 1 - sin (t) sin (t) Simplify to an expression involving a single trig function with no fractions.

A: Let's find single trig function with no fractions.

Q: cos x 2. Rewrite and simplify the expression entirely in terms of sine. vsin x

A: Given expression is cos2xsinx. To rewrite and simplify the expression in terms of sine. Solution: We…

Q: Solve If tan 0 = -4.5, find the value of tan 0 + tan (0 + T) + tan (0 21).

A:

Q: sin2e 9. Simplify + sinO cscē such that there is no quotient in the result. cos²0 а. sec?e b. csc2e…

A: Simplify the given expression: sin2θcos2θ+sinθ cscθ

Q: Find the exact value of: sin-1 1

A: Given: sin-11

Q: find the exact value sinx=1/4, 0<x<pi/2, find x/2

A: Given:Given that,sin(x)=14 where 0&lt;x&lt;π2To find:1) we have to find the value of x2)…

Q: Find the algebraic expression that is equal to sin(-0)sec(-0)cot(-0). sec(-0) csc(-0) cos(-0)

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Q: (sin 5x + cos 5x)

A:

Q: Simplify (1 – sin² 0)(1+ tan² 0) b.tan e а.1 c.-csce d.-1

A: The answer is found in step-2

Q: Determine a root the equation sin X+3 OF COS x-2 = 0. Correct to four decimal places.

A:

Q: 11. Find the exact value of each expression. a) sin-1 () 2 b)sin(tan-(-V3)

A:

Q: Find the exact value of sin(π3)

A:

Q: sin (x) = -0.8. What is cos (90° - x)? Submit

A: Given: sin (x)= -0.8 Formula: cos (A-B)= cos A cos B + sin A sin B

Q: e of sec(tan-1 square

A: We know,      tan-1(3)=π3    sec(π3)=2

Q: sin (90° – x) -0.2. What is cos (x)?

A:

Q: 3. Find the exact value of sin 45°. Enter your next step here ()

A: To find  sin45°

Q: Write the exact form of sin(3x) in terms of sin(x)

A: Given,          sin3x

Q: Use a sketch to find the exact value of the expression sec [sin-1 (- 1/4)]

A: Let y=sec[sin-1(-1/4)]  perpendicular=-1 hypotenuse=4 base=-(-1)2+(4)2=15

Q: Find sin2x, cos2x, and tan2x if sinx = 15/17 and x terminates in quadrant I.

A: sinx = 15/17 and x terminates in quadrant I. Now using the identity

Q: simplify sin2x / 1-cosx

A: The given expression is sin2x1-cosx The objective is to simplify the expression.

Q: what are the values of θ in the interval θ°≤0<360° that satisfy the equation tanθ-√3=0

A: Given that  tanθ-3=0 To find the values of θ tanθ-3=0tanθ=3     θ=tan-13

Q: Find the tan x/2 = (1-cosx)/sinx under the conditions where tanx=-1/3 and cosx &gt;0. Draw a right…

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Q: Verify the identity. (Simplify at each step.) sin 5/2 X cos x - sin/2 x cos x = cos xV sin5 x A

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Q: Find sin 2x, cos 2x, and tan2x if tanx=2 and x terminates in quadrant I.

A:

Q: If cos θ = - 3/5 and tan θ < 0, find the remaining five trig functions of θ, in exact, simplified…

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Q: Simplify sin(tan^-1(x/2))Simplify sin(2tan^-1(x/2))

A: according to given information we have to find different partspart-1

Q: Establish the identity. sec 0• sin 0 = tan 0 Write the left side in terms of sine and cosine. • sin…

A:

Q: Sec(tan

A: The given expression is sectan-13

Q: Write the expression in terms of sine and cosine, and then simplify so that no quotients appear in…

A: I am going to solve the given problem by using some simple calculus of trigonometric ratios.

Q: Find the EXACT value of sin ø, and cos ø if tan ø = -3/4, cos X < 0

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Q: 4) Find value of the Tan45° using tan@ = sine In simplest radical form. cose Substitute into the…

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Q: Find a value of x that satisfies the equation sin 69° = cos (x). Submit

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Q: Sin-1 e こ? 1ーx2

A:

Q: (i) Prove the identity sin 2x- tan x cos 2.x = tan x.

A: See in the next step

Q: Solve the equation on the interval 0≤θ≤2π tanθ=-(sqrt)2 sinθ

A: For solving this trigonometric equation, we have to write the given equation in factored form and…

Q: Find the exact value of the expression. -(들)) sec sin 13

A:

Q: 1. Find the exact value of sin 30°. Enter your next step here )部

A: Given: sin 30o     To determine: The exact value of sin 30o

Q: csc(x) = 8,   tan(x) < 0 How do I find sin(2x), cos(2x), and tan(2x) from the given information?

A: We have to find sin(2x), cos(2x), and tan(2x)  Here use pythagores theorem

Q: Verify the identity. sin 5x √√2 (sin x- cos x) Write the left side in terms of a sum or difference…

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Q: Simplify. sin(-0) tan(-0) sec(e) cos 0 o -sin?0 -cos20 COsS sin 0

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Q: Verify the identity:sin 2x = 2 cot x sin2 x.

A: To verify the identity: sin2x=2cotx sin2x Verification: We know that, sin2x=2sinx cosx Simplifying…

Q: Prove the identity. sin(x - 7T) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

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Q: Find sin2x, cos2x, and tan2x if tanx=−12/5 and x terminates in quadrant IV.

A: Given tanx and x is in 4th quadrant so

Q: Find the exact value of the expression. sin [tan -1(-4)]

A: Consider the given expression sin [tan-1(-4)]

Q: Simplify

A: To express the given trigonometric function as an expression in x

Q: Find the exact value of sin 3

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.