2. If 5 sin 0 + 12 cos 0 = 13, then what is 5 cos 0 - 12 sin 0 equal to? (a) -2 (b)-1 (c) 1 (d) 0

Q: 7) Simplify sin (cos-1 (2x)) to an expression involving no trig or inverse trig functions. (Assume…

A: Approach to solving the question:The following key concepts can be used to simplify given…

Q: 1 (5) 1- cose 1+cos 0 sin?0

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Q: 4. Which is equal to cos? O sin O COS 2π 3

A: Given :cosπ3

Q: 7. Evaluate sin(cos-¹(3))

A:

Q: 11 -1(cos( -(- COS 10

A: Given,cos-1cos( 11π10)

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: Show that sin ( 40) (cos 0) (4 sin 0 – 8 sin³ 0). %3D

A: To show: That sin 4θ=cos θ4 sin θ-8sin3θ. Formula used: sin A+B=sin A·cos B+sin B·cos A cos…

Q: 23. Which of the following expressions are defined? Why or why not? (a) sin-(-25 (b) sin-1 3 -1 7…

A: (a). Given expression is sin-1-125. We know that domain of sin-1x is -1,1. Here, -125=-0.04. -125…

Q: Evaluate (a) sin-1 (b) cos-1 (-)

A: Solve the trigonometry

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A:

Q: What is the exact value of the expression? tan (7) + cos (5) · sin (− ³) 4 4√3+√6 4 4-√√6 4 4√3-√6 4…

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Q: |CoS tan-1 24 1꼭 + cos. -1 3

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Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

A:

Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

Q: 5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

A:

Q: What is 7(cos (pi/2) + i sin (pi/2)) divided by 8 (cos (3pi/4) + i sin (3pi/4)) equal to?

A:

Q: 1/2 sin e cos (cos a cosec 0) de TC (1-cos a).

A: Note that we have to show that the integral value is  π2(1 - cosα).

Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: Which statement must be true? A cos(A) = sin(A) B cos(A) = sin(B) C cos(A) = cos(B) D sin(A) =…

A: for the right angle triangle, let the angle A=x C=90 for triangle sum of all 3 angles is 180…

Q: (sin 0 + cos 0)´ =1+ sin(20) s 0)° =1+sin(20)

A:

Q: If cos (z +) + sin (z -) If cos( x + 6 + sin ( x 3 A, then the number A = %3D

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Q: d da cos(3) = O-3 sin (3²) O 32.cos(3²) -3.sin(3²).In 3. O sin (3²) O3 cos(32).In 3

A: Given

Q: 1) 2) 1 sinx.cosx dx 4 + sin?x dx VX (1– X) (x – 1) X^

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Q: 16. Establish the identity: os 0)² + (sin 0- cos 0)2 = 2 %3D

A: We need to establish the identity  (sinθ+cosθ)2+(sinθ-cosθ)2=2

Q: Simplify (cos x- sin x)(cos x+ sin x). sin x cos x O 2 cos x-1 2 cos x+1

A: Given: cosx-sinxcosx+sinx

Q: 1) If sine =,0 < 0 < , find the exact value of each of the following. a) sin(20) b) cos(20) c) sin-…

A: Since you have asked a question with multiple sub parts, we will solve the first three sub parts for…

Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

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Q: 2 sin COS

A: we use the formula :Sin 2θ = 2 sinθ cosθ.

Q: Which of the following is an equivalent expression to sin 8-(sin )(cos²0)?

A:

Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

A: