For Exercises 12–17, find the exact value. 12. sin250° cos10° – cos 250°sin10° 13. tan- 12 14. cos arctan3 + arcsin- 17T 15. cos105° 16. sin- sin 24 24 17. sin555° + sin105°

Q: to find the 12 Evaluate sin- exact value.

A: Given that

Q: The expression sec²x-1 is equivalent to: a. sin2x b. cos2x-1 c. 1-csc²x d. cos²x sin2x X

A: Step 1: Identify the trigonometric identities related to the problemtanx = sinx/cosxtherefore:tan2x…

Q: Find a cofunction with the same value as csc(67º) sec(67°) O sin(67°) o sin(23°) o sec(23°)

A:

Q: Multiply. Use "theta" for θ and (cos(theta))^2 for cos^2 θ. (Sin0 + Cos0)^2

A: (sinθ+cosθ)2 using…

Q: How did you choose pi/2, -pi/2 when setting it equal to 3 theta.

A: How did you choose : 3θ = π/2 and –π/2

Q: simplify sin(180degrees-x)   A.cosx B.sinx C.-sinx D.-cosx

A:

Q: 77. From the figure, show that sin(45° – a) = sin95°. A 40° 12 8 45° D C B

A: The given figure is, In triangle ACD,∠DAC=40°∠ACD=45°Using the angle sum property of a…

Q: evaluate cos-1(cos(80 degrees))=

A: The objective of the question is to evaluate the expression cos^-1(cos(80 degrees)).

Q: 2. a. arctan(-1) b. tanV3 C. tan-

A: a)tan-1(-1)=-π4b)tan-1(3)=π3

Q: rewrite tan(arcsinx) as an alegraic expression of x.

A: Given,           tanarcsinx

Q: { 8. (sin@ + cos@)²

A:

Q: sin10 x cos x dx.

A:

Q: Simplify cos2θ*(1+tan2θ)

A:

Q: tan = 1.3679 * tan 49° =

A: See  the attached document

Q: Evaluate sin(arctan(-√3 / 3))

A: Given: sin(arctan(-√3 / 3))

Q: What is the value of cos 6. а. 1 b. 2 V3 C. d.

A: Given that: cosπ6

Q: -11m. ii. cos-1(cos()) CO 6.

A: Given problem:- cos-1(cos(11π6))=?

Q: Recall that sin2 θ means (sin θ)2. If tan θ = 3, find tan3 θ. tan3 θ =

A: Given information