Evaluate the expression. sin 2150° + cos 2150° sin 2150° + cos 2150° =

Q: Write the trigonometric expression as an algebraic expression. cos(arccos 6x − arctan 6x)

A: Assume arc cos X= a  Arc tan X = b  Then use trigonometric formulas

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: sin(?) cos(3?) + cos(?) sin(3?) = 0

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

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) tan(2u) II…

A:

Q: Write the given expression in terms of x and y only. tan(sin-(x) + cos-(v))

A:

Q: Find sin , cos , and tan * from the given information. cSC X = 9, 90° < x < 180° sin Cos tan II II

A: Given:-Cosec x = 9,   90°&lt; x &lt; 180°to find sin x2, cos x2, tan x2Cosec…

Q: Use an Addition or Subtraction Formula to simplify the equation. cos(?) cos(2?) + sin(?) sin(2?) =…

A: cos(x)cos(2x)+sin(x)sin(2x)=22[Formula cos(A)cos(B)+sin(A)sin(B)=cos(A-B)…

Q: Rewrite sin 2 cos as an algebraic expression in v. 5

A: Explanation: Given that,                          We know that,                           Use the…

Q: Evaluate the expression by sketching a triangle: 1 tan(co COS (300)) 1 =

A: Given.

Q: Use a right triangle to simplify the given expression. Assume x 7 0. cos 1tan-1x 2

A: Now let Now it can be represented by using right angled triangle as,

Q: IT) If Sio A= $, Sin B= " 12 A B Cre alute. 13 find (A+6) and Cos (A -6).

A:

Q: cos?(18°) – sin?(18°)

A: The answer is given below

Q: "III. Find the value of the expression. 12.) csc 300• cos 60 sec 150° · sin 120°

A: SOLUTION-

Q: Use the given information to evaluate the expression. 11 sin(-0) = 14 csc(e) =.

A:

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 3x cos x - cos 3x sin x

A: Given,          sin3xcosx-cos3xsinxWe know that,        sinA-B=sinAcosB-cosAsinB

Q: Solve the equations sin? x - cos x 114 ||

A:

Q: Simplify the expression sin 29.5° cos 29.5°. 8

A: Given18sin(29.5°)cos(29.5°)we know that double angle identitiessin(2θ)=2sinθ.cosθ

Q: Simplify the expression.   Cos(2 tan-1x)

A: Given: cos2tan-1x for simplifying given expression we assume tan-1x=θtanθ=x now putting value of…

Q: sin?8tane + cos²0cot0 + 2sin@cose = tan0 + cot® %3D

A: sin2θtanθ+cos2θcotθ+2sinθcosθ=sin2θ·sinθcosθ+cos2θ·cosθsinθ+2sinθcosθ=sin3θcosθ+cos3θsinθ+2sinθcosθ=…

Q: Simplify the expression. Do not evaluate. cos?(5x) – sin?(5x)

A:

Q: Simplify the expression. Do not evaluate. cos?(18°) – sin2(18°)

A: cos2A-sin2A=cos 2A

Q: Simplify the trigonometric expression. 1+ sin y csc y + 1

A: Given,           1 + sin ycsc y + 1

Q: Simplify the expression: (1 + cos a)(1- cos(-a)) O sin² a cos a 01 + 2 cosa + sin²a sin a

A: The given expression is 1+cosα1-cos-α

Q: Simplify the expression. cos?( – s) V1- sin?(z) = %3D

A:

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin? a (1 + cos a)(1 – cos a)…

A: Given:  1+cos α1-cos α=sin2 α To Find: To verify the given identity.

Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

A:

Q: Simplify the expression. 1+ cos 2.

A: Solution: The objective is to simplify the given expression

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a (1 + cos a)(1 – cos a)…

A:

Q: ite the expression as 2 sin 32° cos 83°

A: We have to simply

Q: Įdentify the value that is equivalent to sin 53°? A. cos 127° B. sin 37° C. cos 37° D. sin 127°

A:

Q: Write an algebraic expression that is equivalent to the given expression. tan(cos-1(x/6))

A: Given The expression is tan(cos-1(x/6))

Q: Simplify the expression. cos(2 tan-1(x))

A: For the solution follow the next step.

Q: Write an expression that gives all solutions to the equation. sin x + cos x = - 12 + ka + 2k7 + ka…

A: Explained below

Q: a) Simplify the following expression. cos cos '(2x)+ si

A:

Q: Simplify the expression. cos(2 tan(x))

A: Use the cos double angle formula and then proceed, solve the problem as shown below.

Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: evaluate the expression cos-1(sin(5pi/4))

A:

Q: Rewrite the expression below in terms of sin(8) and cos(8). (Simplify your answer.) sec(0)(1 +…

A: We will find the expression as following.

Q: evaluate the expression cos-1(sin(pi/6))

A: evaluate the expression cos-1(sin(pi/6))

Q: Simplify the expression. Do not evaluate. cos?(5x) – sin2(5x)

A: You can solve this Question bye this method

Q: Verify the identity. (Simplify at each step.) 5 sin? a – 5 sin“ a = 5 cos? a – 5 cos4 a 5 sin? a – 5…

A:

Q: tan cos The value of 6 – is sin(60º) a) 4 b) 6 c) 8 d) 0

A: Complete solution is given below

Q: Find the value of cos e, if sin 0- 4 0° S05 90°. 7. 25 49 33

A: Given : sinθ = 47

Q: Use a right triangle to simplify the given expression. Assume x 7 0. cos 1sec-1x 2

A: Inverse trigonometric function:     cos(sec-1x2)We know cos(cos-11x2)

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

A: cosθ2=x

Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: 2-Simplify first, then determine the exact value. (sin7n/24 + cos7a/24)2

A:

Q: cos(A+ B) cos² A – sin? B sec(A – B) =

A: Consider the provided question, We have to prove the identity  secA-B=cosA+Bcos2A-sin2B