In the following problem, the expression is the right side of the formula for cos(a - B) with particular values fOF cos(92°)cos(47°) + sin(92°)sin(47°) ..... a. Identify a and B in each expression. The value for a: The value for B:

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A: The given expression is costan-1158. It is known that, cosarctanx=1+x21+x2.

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A: Here given

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A: To find the value of inverse trigonometric functions.

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A: we have to simply   sin(?) cos(3?)   +  cos(?)  sin(3?) = 0

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A: We can make it easier for you.

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A: 1

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A:

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A: We will use the cos(A-B)=cosAcosB+sinAsinB formula with A=2π/3 and B=π/6

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A:

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A: Consider the expression

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A:

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A:

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

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

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A: We apple Pythagoras formula and Sin(A+B) formula

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A:

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A: To find the exact value of the given expression: tancos-1-32 Solution: The principal range of the…

Q: 2) Use the Sum and Difference formulas to evaluate the following expression cos (345°)

A: Formula ' s  1 ) cos ( A - B )=   cos A cos B + sin A sin B    2 )  cos ( 360 ° - A ) = cos A

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A:

Q: Simplify the following expression: sin(180°+x) tan(180°-x) tan 45° cos(360°-x)

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A: cotarccos-33=cotarccos-33Use the following identity: cotarccosx=x1-x2=-331--332=-22

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A:

Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-12=-sin-112                ∵sin-1-x=-sin-1x =-sin-1sinπ6   =-π6                          ∵…

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Q: Find the exact value of the following expressions: 50 b. sin 8. a. tan 8. C. cos 15° -

A: Here only cos15° having exact value other part a and b value depends upon theta. So i am solving…

Q: please answer all the parts

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Q: Find the exact value of the following expression. 5x tan +3) 6 4

A: For the value of tan(5π/6 + π/4) . . . (1)   We use the formula  tan(a+b)=(tana + tanb)/(1-…

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Q: What is the value of tan theta, if sec theta = -3/2, and pi/6<theta<pi?

A: Here given  sec θ = -3/2 where π/6 &lt;  θ &lt; π 1/cos θ  = -3/2 cosθ = -2/3 Cos θ is negative in…

Q: Given the expression below, what is the value of (1+ cos e)/2? cos -= x 2

A: cosθ2=x

Q: If 2 cos e = - 1.625 and 0°se< 360°, what is e?

A:

Q: Each of the following expressions has a single numerical value for all 0 where the expression is…

A: a) Factor out 36, then use the Pythagorean identity cos^2(theta)+sin^2(theta)=1