Show by means of the trigonometric identity sin 3a = 3 sin a - 4 sin'a that the angle 30° cannot be trisected with straightedge and compass. !!

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: 3) Find the cos(105"), sin(105") and tan(105") by using sum difference formulas and the definition…

A: The objective is to find the required values

Q: If sec 0+ tan 0= p. Then sin 0 is?

A: Given  sec θ + tan θ = p. We have to find the value of  sin θ.

Q: If tan(θ)=15/8, 0 ≤ θ ≤ π2, then what is sin, cos, and sec of (θ)??

A:

Q: If tan(0) 24 - , 0 <os then 2 %3D sin(0) equals cos(0) equals COS sec(0) equals

A:

Q: Find the exact value of sin 80° cos 20° - cos 80° sin 20°.

A: Use the identity sina-b=sin a·cos b-cos a·sin b.

Q: 6. Suppose that sin(0) of sin(20). 15 and that the terminal side of 0 is in the second quadrant.…

A: The solution is:

Q: Find the six trigonometric function values of the angle 0 in standard postion, if the terminal side…

A:

Q: Find the exact value of expression.

A: The given expression is 2sinπ3-3tanπ6. Simplify as follows.

Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

A:

Q: Which hyperbolic identity corresponds to the trigonometric identity                    sin2x = (1 −…

A: Given

Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x.…

A:

Q: 2) Use double-angle formulas to help you prove the identity below. sin (20) 1+ cos (20) tan 0

A: The main objective of the question is to prove RHS = LHS by using double angle formula.

Q: If tan(θ)=24/10, 0≤θ≤π/2, thensin(θ)sin(θ) equals   cos(θ)cos(θ) equals   sec(θ)sec(θ) equals

A:

Q: The degree measure of an acute angle in a right triangle is x. If sinx=2/3, are sin(90°−x) equal to…

A: We will calculate cos(x) and find all the other trigonometric ratios.

Q: If tan(0) = , 0 <0<, then sin(0) equals cos(0) equals sec(0) equals

A:

Q: Suppose that sin(θ)=4/8. What tan(θ)=______.

A:

Q: If If sinθ=3/5 and tanθ=3/4, then cosθ=?

A:

Q: tan(5. x) dy dx Y = Find dy da = Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to…

A:

Q: Express as a trigonometric function of one angle. cos 48° cos 22° + sin 48° sin 22°

A: We will use cosAcosB+sinAsinB= cos(A-B) formula  With A= 48 and B= 22

Q: Give the exact value. 5л sin 3

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given, sinθ.secθ=tanθ transform leftside to rightside from trignometric formula we know secθ=1cosθ…

Q: If csc(x) = 6, for 90° <x < 180°, then %3D sin ) %3D CoS 2 %3D tan 82

A:

Q: if sin=-5/13, and cos<0, what is tangent and decent?

A: Given: sinθ=-513, cosθ&lt;0 To determine: tanθ, secθ.

Q: 3. with Ae QIII , find sin24 7. If cosA = -.

A:

Q: Find the exact value of the expression. sin 15° cos 45° + cos 15° sin 45° -/2

A:

Q: If x = 4 tan 8, express sin 0 in terms of A.

A: Trigonometric identities help to write the given expression in the terms of the sine function.…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) =…

A: Given

Q: 2. Prove using the angle sum identity of sine: sin 90° = 1.

A: 2- Given- sin90°=1 To prove- The above expression using sum identity of sin. Identity Used-…

Q: If tanθ=6/13, and if cosθ&lt;0, the... secθ= cosθ= sinθ= sin2θ= sinθ/2=

A: Since, tan of an angle is positive and cos of the angle is negative, so angle lies in second…

Q: If csc(x)=3,for 90∘  &lt;x&lt;180∘,then: sin (x/2)= cos (x/2)= tan (x/2)=   Use a half angle formula…

A: Given function is

Q: What is the exact value of 2 sin π/3 - 3 tan π/6?

A: To evaluate:                     2 sinπ3 - 3 tanπ6

Q: Find the remaining trigonometric ratios of 0 based on the given information. sin 0 and 0 is not in…

A: Given,

Q: 2. Find the values of other trigonometric identities if sin 0 3 and tan 0 > 0.

A: Explanation of the answer is as follows

Q: Find sin 8x given that tan 4x 24 and <,x < 4 - 8.

A:

Q: Find the exact value of sin 20 if tan 0 with 0 in QII. 4 %3D O - 8 17 13 17 8 17 17 o 4V17 17

A:

Q: If tan(0) , 0 < 0< then sin(0) equals cos(0) equals sec(0) equals

A:

Q: 3 and e is in QIII. 5 4. Find the exact value of sin if cose

A:

Q: Let 0 <0<. If sin 0 3 what is the value of sin 20?

A:

Q: Find cot 0 if sin 0 and 0 terminates in QIII. 35

A:

Q: Given that: sin(x) and 7 <x < T, determine the exact value of: 17 sin(2x). Show your work.

A:

Q: 2) Explain why sin(8) = cos(90-e). %3D

A:

Q: Given that sinθ= 3/5 and cos(θ)<0 that , what is the exact value of sec(θ)

A:

Q: If sin theta + 2  cos theta = 1  then prove that 2sin theta - cos theta = 2

A: To Determine: To prove 2sinθ-cosθ=2 Given: we have sinθ+2cosθ=1 Explanation: we have…

Q: The terminal side of an angle O in standard position intersects the unit circle at point (-,-). What…

A: Q7) The terminal side of an angle θ in standard position intersects the unit circle at point…

Q: Find the six Trigonometric function values of the angle 0 in standard postion, if terminal side of 0…

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: Suppose, for some angle 0 drawn in standard position, tan(e) = -24/7 and sin(0) < 0. Find the exact…

A:

Q: 5. If 0° < 0 < 90° and tan 6 = find sin 6 using trigonometric identities.

A:

Q: (), tan (;). 4. Find sin given that sec(0) = 2, where 90° < 0 < 180° COS

A:

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.