Direction: Complete the proof below. sin(A+B) tan A+tan B Verify if sin(A-B) tan A-tan B Statements Reasons tan A + tan B tan A - tan B Quotient Identity of tan A tan A + tan B LCD tan A - tan B tan A + tan B Division of Fractions tan A - tan B tan A+ tan B sin A cos B + cos A sin B tan A-tan B sin A cos B - cos A sin B sin(A + B) sin(A - B) tan A+ tan B tan A-tan B

Q: 2. How many numbers between 500 and 2000 can be me made using the digits 1,3,5,7,9 without repeating…

A: Digits: 1, 3, 5, 7, 9Between 500 and 999:without repetition:The first digit can be 5, 7, 9.The…

Q: if a+c=b then tan a+tan b+tanc =

A: GivenIf a+c=b

Q: sinx , not hold? For what values of x does the quotient identity, tanx = Cosr

A:

Q: tab esc Verify the identity. alt (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use…

A:

Q: Review the proof (not in order) of the identity What is the correct sequence of steps? 1-Cos(e) 1+…

A: The proof of the identity tanθ2=±1-cosθ1+cosθ is shown below.

Q: Discuss the mapping properties of cos z and sin z

A: Discuss the mapping properties of cos z and sin z   The complex trigonometric functions cos z and…

Q: Prove that : (cosec?? − sin??)(sec?? − cos??)(tan?? + cot??) =1   Prove that √sec2 + cosec2 = tan…

A:

Q: Verify the identity. sin 2x/ sin x-cos 2x/cos x= sec x Rules are Algebra, Reciprocal, Quotient,…

A:

Q: Verify the identity. cos(u) sec(u) tan(u) cot(u) Use a Reciprocal Identity to rewrite the…

A: Given Left Hand Side,

Q: sin(A+B) В Simplify: sin A sin B

A:

Q: What is always true? O sin A - cos A O sin A- cos B sin A- cos C O sin A- tan B

A: Topic = Triangles sin A=cos B

Q: Calculate (cos + isin Hint: DeMoivre's Theorem: (cos x +I sin x "- cos nx +i sin nx

A:

Q: 8) Find the exact value of: tan A+ tan B tan (A+B) -tan A tan B tan 80°+ tan55° 1-tan 80° tan55°…

A:

Q: Simplify the expression tan r+cot a cot a O tan? x O - tan? a O - sec2 x O sec? x

A: Options D is correct.