Find the exact value of the following expression:   sin(pi/12)cos(7pi/12) - cos(pi/12)sin(7pi/12)

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

A: We need to simplify the expression 16 sin2x cos2x. Now,                  16 sin2x cos2x=42 sin x cos…

Q: In the following problem, the expression is the right side of the formula for cos(a- B) with…

A: Trigometry formula

Q: Show that sin(A+ B) is not, in general, equal to sin A + sin B by substituting 30° for A and 60° for…

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Q: Use addition formulas and the values of sin(ø) and cos(ø) for ø=pi/3 , pi/4 to compute sin(pi/12)…

A: Use formulae: also, make use of:

Q: In the following problem, the expression is the right side of the formula for cos(a - B) with…

A: The given expression,cos(92°)cos(47°)+sin(92°)sin(47°)

Q: Can you explain how to answer this question? HOW do I arrive at an answer without using a…

A: Obtain the exact values of the given expression as follows. Recall the given facts.

Q: In the following problem, the expression is the right side of the formula for cos(a- B) with…

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Q: Verify the identity. sin x + cos³ x =1 - sin x cos x sin x + cos x Factor the numerator, and use a…

A: According to the given information it is required to verify the identity:…

Q: Simplify the expression square root of 25-x^2 as much as possible after substituting 5sin theta for…

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Q: What is the simplified form of the expression 2 sin(13°) cos(13°)? sin 26 sin 52° Cos 26° cos 52° no…

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Q: What would the values of cos(2x) be, with the given other trig function

A: Given:  cosx=320  (in I quadrant) To find: cos2x

Q: Find the exact value of the expression. Not a deimal. Sin^-1 ( cos 2Pi/3 )

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Q: Find the exact value of each expression. 1) cos-0 V3 3) cos- 5) sin- -1 7) cos-1 1 9) sin- 1 11) cos

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

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Q: Evaluate the following expressions : 1 -1 O Sec(Cos ) b) Sin1– Sin' (-1) c) Cos (-Sin)

A: Trigonometric ratios are both normal and inverse. They have units called degrees and radians.

Q: The Equivalent expression of cos (4 A) is

A: we know that sin2A = 2sinA cosA cos2A = 1-2 sin^2 A

Q: 9. Find the exact value of each expression. (a) sin 8° cos 22° + cos 8° sin 22° (b) sin 75° (c) sin…

A: (a) sin8°cos22°+cos8°sin22°=sin8°+22°=sin30°=12=0.5

Q: Write the given expression in terms of x and y only. sin(sin−1(x) + cos−1(y))

A: Given:- sin(sin−1(x) + cos−1(y)) To find:- Write the given expression in terms of x and y only.

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

A:

Q: Find the exact value for the following: Sin (-495º) Cos (7π/12) Tan(-π/8)

A: Note: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the exact value of the expression. sin (25°) cos (20°) + cos (25°) sin (20°) sin (25°) cos…

A: Just use a formula and solution is easy.

Q: 8. Find the exact value of the expression. Do not use a calculator. sin 45° cos 60°

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Q: 15. Find the exact value of each expression. a) sin 8° cos 22° + cos 8º sin 22° b) sin 75°

A: The angles and the sides of a triangle are related by using trigonometric ratios. These ratios are…

Q: Simplify the expression by first substituting values from the table of exact values and then…

A:

Q: Simplify the expression  square root of  16 − x2  as much as possible after substituting  4 sin θ…

A: Given ,         16-x2 , x=4 sin θ

Q: In the following problem, the expression is the right side of the formula for cos(a- B) with…

A: Solution is given as below:

Q: Find sin x/2, cos x/2, and tan x/2 from the given information. cos(x) = − 12/13 ,   180° < x < 270°

A: Given

Q: Evaluate each of the following expressions. Give an exact value a.) sin(cos^-1(sqrt3/2)) b.)…

A: a) sincos-132 We know that cosπ6=32 sincos-1cosπ6 We know that cos-1cosx=x Therefore, we get…

Q: find the sin 2x,cos 2x, and tan 2x of the following cos x = 4/5, csc x < 0

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Q: In the following problem, the expression is the right side of the formula for cos(a-B) with…

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Q: 7. Simplify the following formula sin140° cos40° + cos140° sin 40°

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Q: Find the identical expression for the following. 1-cos x 1+cosx

A: Find the identical expression

Q: 010 Use a product-to-sum formula to rewrite sin 8w cos 2w as a sum or difference. sin 8w cos 2w-

A: According to the problem,we have

Q: Write the expression as a single trigonometric function. cos 20° cos 70° − sin 20° sin 70°

A: To write the given expression as a single trigonometric function.

Q: What is the general form of the measures in radians of all angles that are co terminal with 3 pi

A: We have to find  The general form of the measures in radians of all angles that are coterminal…

Q: Use a sketch to find the exact value of the following expression. 8. Cos 1 sin 10 8 cos 1 sin (Type…

A: We know cos(sin-1(x))= 1-x2 for all x in  [-1, 1]

Q: In the following problem, the expression is the right side of the formula for cos(a-B) with…

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Q: In the following problem, the expression is the right side of the formula for cos(a- B) with…

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Q: Find the exact value of the expression sin π/4 cos 0 - sin π/6 cos π. Write the answer as a single…

A: Given:sinπ4 cos0-sinπ6 cosπ

Q: Establish the identity.   (1+cosθ)(1−cosθ)=sin^2θ Multiply and write the left side expression as…

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Q: Find the exact value of each of the following. - 1 (i) sin 3817 sin 101 3086 - 1 (ii) cos cos 83…

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Q: se the given condition to find the exact values of the expression.   cosX = 24/25, sinX < 0, cos(X…

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Q: In the following problem, the expression is the right side of the formula for cos(a-B) with…

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Q: Simplify the expression by first substituting values from the table of exact values and then…

A: Given 8 cos 30°2We simplify the expression by first substituting values from table of exact values…

Q: Find the exact value of the expression sin 11π/4 cos 5π/6 + cos 11π/4 sin 5π/6. Write the answer as…

A: We have to find the exact value of the expression: sin 11π4 cos 5π6+cos 11π4 sin 5π6 We know the…

Q: Find the identical expression for the following. ​(1 − sin4θ)/(1 + sin2θ)

A: We have to determine identical expression as below

Q: Apply the sum and difference identities to find the exact value of the given expression.…

A: Given expression as

Q: Find all possible values of each expression in radians and degrees. 9. -1 cos 10. sin -1 11. tan 12.…

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Q: In the following problem, the expression is the right side of the formula for cos(a - B) with…

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