Draw 135 degree in standard position, locate a convenient point on the terminal side, andthen find sin 135 degree, cos 135 degree, and tan 135 degree

Q: Use a reference angle to write cos(260°) in terms of the cosine of a positive acute angle. Provide…

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Q: Write expression in terms of Sin0+ Cose, then simplify. 1+ tan20 1+ cot20

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Q: Use the half angle identify to evaluate EXACTLY: Tan67.5 degrees

A: Let x = 135 degree , then x/2 =67.5 Use half angle identity : tan(x/2)= (1-cos x)/sinxThen plug…

Q: Find sin(2θ) if the terminal side of θ is in the fourth quadrant and tan(θ) = −2

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Q: Use a half-angle formula to find the exact value of the expression sin 15°.

A: Consider the following formula:…

Q: Suppose that tana = and 90° <a <180°. Find the exact values of sin and tan

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Q: Find the third side in sin

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Q: Use a special right triangle to write cos 30 degrees as a fraction.

A: Let us use 30°-60°-90° triangle which is a right triangle having the angles 30° and 60°.

Q: Write the expression 2tan π/12 /(1 - tan2 π/12) as the sine, cosine, or tangent of a double angle.…

A: We use the double angle identity for tan

Q: Use a half-angle formula to find the exact value of cos3π/8.

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Q: Use Half-angle Formulas to find the exact value of each expression;

A: We know that, from half angle formula tanθ=2tanθ21-tan2θ2       Let us consider θ2=7π8⇒θ=7π4.…

Q: Use the half-angle identities to find the exact value of the trigonometric expression. sin 곰 12

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Q: Use sum,difference,product,or half-angle formulas to find the exact value of each expression. sin…

A: We have to use sum and difference formula of sine function. According to sum formula of sine…

Q: Assume that is an acute angle. If sec8=6, find the exact value of sin 8. Write your answer as an…

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Q: Use double- and half-angle formulas to find the exact value of the expression tan(π/12).

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Q: Use the half-angle identities to find the exact value of the trigonometric expression. sin 75°

A: The given trigonometric expression is  sin 75°   Half angle formula: sin θ2=1-cos θ2sin θ=1-cos 2θ2

Q: Use one or more of the six sum and difference identities to write the expression as the sine,…

A: Use one or more of the six sum and difference identities to write the expression as the sine,…

Q: Use a reference angle to write cos(260∘) in terms of the cosine of a positive acute angle.

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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: Write the expression (tan π/5 + tan 4π/5)/(1 - tan π/5 tan 4π/5) as the sine, cosine, or tangent of…

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Q: give the exact value of cosine 135 degrees

A: cos(135°)  = cos(180° - 45°) = - cos (45°)

Q: Write the expression (tan π/5 - tan π/30)/(1 + tan π/5 tan π/30) as the sine, cosine, or tangent of…

A: Formula used: tana+tanb1-tana·tanb=tana+b

Q: Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.…

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Q: Use a half-angle formula to find sin(105°). Simplify your answer completely.

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Q: If you are given a point on the terminal side of angle 6, explain how to find sin 6.

A: Consider the provided information, Let we have a point x,y.

Q: Use one or more of the six sum and difference identities to write the expression as the sine,…

A: Given:tanπ5-tanπ301+tanπ5tanπ30Trigonometry formula:tanA-B=tanA-tanB1+tanA tanB

Q: Use double- and half-angle formulas to find the exact value of the expression.

A: Let the given expression be y - y = 2tan5π121-tan25π12Now,let,  x = 5π12Then,y = 2tanx1-tan2xUsing…

Q: use half-angle formulas to find an exact value for the following  sin 75 degrees

A: We have to find the value of sin(75°)  Please see the explanation below

Q: Use the half angle identify to evaluate EXACTLY. Tan 67.5 degrees = I need full work

A: Given trigonometric expression is,

Q: use a half-angle formula to find sin(105degrees).  Simplify your answer completely.

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Q: Find the exact value of the expression. Do not use a calculator. Cos 157.5° sin 22.5°

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Q: Find another angle theta between 0 degrees and 360 degrees that has the same cosine as 245 degrees.…

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Q: Use a half-angle formula to find the exact value of the expression tan 112.5°

A: We have to find exact value of the expression tan112.5∘ using a half-angle formula. Explanation:…

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. 137 sin. 12

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Q: Find the exact value of the sine of an angle 0 in standard position if the point (13,-84) is on its…

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Q: Find the exact values of the sine, cosine, and tangent of the angle. -165° sin(-165°) = cos(-165°) =…

A: -165°

Q: Find the exact value by applying the double or half angle identities:…

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Q: Calculate sin(5) and cos(-270°). Include a sketch of each angle.

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Q: Find an angle 0 with 0° <0 < 360° that has the same: Sine as 80°: 0 = 100 degrees Cosine as 80°: 0 =…

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Q: Use one or more of the six sum and difference identities to write the expression as the sine,…

A: the given expression is: tan50°-tan20°1+tan50°tan20° we have to evaluate the exact value of the…

Q: Find the exact values of the sine, cosine, and tangent of the angle. -165° sin(-165°) = ||…

A: solution.

Q: sin 60⁰

A: Formulas used sin(A+B)=sinAcosB+cosAsinBcos(-A)=cosA

Q: Use a half-angle formula to find cos 75 degree.

A: We have to find exact value of cos 75° by using half angle formula. We know half angle formula for…

Q: Suppose that θis an angle in standard position whose terminal side intersects the unit circle at…

A: Recall the following. Let x, y be the point where the terminal side intersects the circle of radius…

Q: Find the sine, cosine, and tangent of the angle. sin 135° = cos 135° = tan 135°

A: It is known that sin90+θ = cosθ                        cos90+θ = -sinθ…

Q: Use one or more of the six sum and difference identities to write the expression as the sine,…

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Q: Use a half-angle formula to find sin 22.5 degree

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Q: Write the expression 2tan π/8 /(1 - tan2 π/8) as the sine, cosine, or tangent of a double angle.…

A: Given:2 tan π81-tan2π8

Q: 23n sin 12

A: The solution as follows :

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.