(1 + sinx)? + cos²x = 2 1+ sin x

Q: Solve the following trigonometric equation 2sin^(2)x-tanx=0

A: Explanation of the solution is given below...

Q: Use a sketch to find the exact value of the following expression. 8. sin-1 10 COS

A: We have given a function;

Q: Find the exact value of the remaining trigonometric functions of θ.

A: Consider the given graph tanθ=-34

Q: Verify the identity. sin(8) 1 - cos(8) cot(0) + csc(0)

A:

Q: 3n 1) sin 2) сos 210° 5n 3) cos 4) sin 4.

A: 1) Given:         sin3π4      Use the following identity:          sinx=cosπ2-x…

Q: Find the exact value of cos 70° cos 40° + sin 70° sin 40°.

A:

Q: solve the given trigonometric equations analytically (using identities when necessary for exact…

A: Answer of the question as follows:

Q: 2 sin 105° cos105°

A: consider the trigonometric function  2sin105°cos105° The double angle sine formula is defined as,…

Q: (15) sin 105° (16) cos 75° (17) sin- 12 п (18) cos- 8

A: 15) The value of sin105° can be calculated as,    cos210°=1-2sin2105…

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: Use formula:-  (i) (a + b)(a - b) = a2 - b2  (ii) sin2x + cos2x = 1

Q: Find the exact value of sin 0 18 14

A:

Q: (x^2)cos^2 x - (x^2)sin^2 x = ? Is this a double-angle trigonometric identity?

A: we have evaluate the following . We can use double angle trigonometric identity

Q: 1 14. cos 2. sin20 csc0 = 4

A:

Q: Hence or otherwise find the exact value of 2 sin 285 cos 45

A: Given  To find exact value of 2sin285 cos 45   Using formula

Q: prove the identity.  1+Cos?= Sin2?/ 1-Cos?

A:

Q: 5. Is the equation cos 0 – sin 0 =1 an identity? If so, verify it. If not, explain why. %3D

A: The trigonometric equation is an identity if it is true for all cases. To check if the equation is…

Q: Use trigonometric identities to solve cos(2θ)−cos(θ)=0 exactly for 0∘≤θ&lt;360∘

A: Given equation,

Q: verify the trigonometric identity below. 1+ sin(2θ)+(sin(θ)+cos(θ))^2

A: Given data 1+sin2θ=sinθ+cosθ2

Q: Find the exact value of the expression. 11x sin 9. COS

A:

Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

A:

Q: 5. Is the equation cos 8- sin 0 =1 an identity? If so, verify it. If not, explain why.

A:

Q: 2 sin x cos X tan(2x) = %3D 2 cos? x - 1

A:

Q: Use the facts that cos (π/6)=((√3)/2) and sin (π/6)=1/2 to find the exact value of tan ( π/12)

A: Given: -

Q: 5n 25) cos 12 + sin sin 12 12 cos 12

A:

Q: Use the fundamental identities to simplify the expression. cos 0 - cos e sin? e

A:

Q: Use an addition or subtraction formula to find the exact value. 1. sin15° 2. cos 12 3. tan 75°

A: 1.Sin15o sin(15°)=sin(45°-30°)              =sin(45°)cos(30°)-cos(45°)sin(30°)…

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: 1-cos²x=sin²x

Q: 5. Is the equation cos 0 - sin 0 = 1 an identity? If so, verify it. If not, explain why. %3D

A: As we know that an identity is satisfied by any value of variable . Let's check for given equation .

Q: Determine whether the statement below is true or false. cos°0° + sin20° =1

A:

Q: Complete the identity cos^2?+tan^2?+sin^2?=

A:

Q: Use inverse trigonometric functions to find the solutions of the equation that are in the given…

A: sin2x=-1.5 cosx

Q: Let sin 0 = 12/13, and cos 0 = 5/13, and find the indicated value. %3! %! sec 0 = %3D

A: Given ,  sin θ = 12/13  cos θ = 5/13 We have to find sec θ Since ,

Q: Find the exact values of cos 0 if sin 0 * and sec 0 > 0 13

A: Given:sin θ =-513 and sec θ &gt;0

Q: - Find the value of each of the following: 4T Cos 3 sin(-30°) , ,sec(165°)

A: as per our guidelines, i can answer only one equation with three subparts. To know rest, please re…

Q: 10. Verify the identity. cos?x - tan?x cot2x – sec²x = sin²x

A:

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. Sin^6(5x)=?

A:

Q: and sin 0 = , find cos 20.

A:

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 <0< 9…

A:

Q: Find the exact value. sin((4π)/(3))

A: Find the exact value.     sin((4π)/(3))

Q: Find the exact value. sin(570°) = %3D cos (570°) % = COS

A:

Q: Verify the identity : (sin θ + cos θ)2 = 1 + sin 2θ

A: we have to verify the identity: sin θ +cos θ2=1+sin 2θ

Q: Use an identity to write the expression as a single trigonometric function or as a single number.…

A:

Q: 7. If sin 0 and 0 is in the first quadrant, find cos 20. %3D

A: The solution is given below:

Q: Determine the exact value of (Cos2 45°/sin 30°) x tan 60°

A:

Q: Write the first trigonometric function in terms of the second for 0 in the given quadrant. cos(0),…

A: As we know that sin2x+cos2x=1 see below the answer and explanation

Q: Use the result (cos θ + i sin θ) 2 = cos 2θ + i sin 2θ to find trigonometric identities for cos 2θ…

A: The given result is: cos θ+i sin θ2=cos(2θ)+i sin(2θ)

Q: Write the first trigonometric function in terms of the second for 0 in the given quadrant. cos(0),…

A: