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Trigonometric Equations with Angle Sum, Difference, Multiple, Half-Angle Formulas problems

Trigonometric Equation Double-Angle and Product-To-Sum example

Solve the following Trigonometric Equations using Double-Angle and Product-To-Sum formulas:

sin2θ – sinθ = 0

cosx + cos3x = cos2x

 

Solution to this Trigonometric Equation Double-Angle Product-To-Sum practice problem is provided in the video below!



 

Trigonometric Angle Sum, Difference, Multiple, Half-Angle Formulas problems

Trigonometric Angle Sum and Difference example question

Find the value of the following Trigonometric Expressions using Angle Sum or Difference formulas:

cos(105º)

Solution to this Trigonometric Angle Sum Difference practice problem is provided in the video below!



 

Trigonometric Identity Proof problems

Trigonometric Identity Proofs example problem #1

Show that

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example question #2

Show that the following equation is valid.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proofs example #3

Prove the validity of the following equation.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example problem #4

Prove that

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proofs example question #5

Prove the following identity.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example #6

Show that the following identity holds.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proofs example problem #7

Prove the following identity.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example question #8

Verify the given identity.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proofs example #9

Show that the identity given below is valid.

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example problem #10

Verify the given three Trigonometric Identities:

(a)

(b)

(c)

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example question #11

Show that the following Trigonometric Identity is true:

 

Solution to this Trigonometric Identity Proof practice problem is given in the video below!



Trigonometric Identity Proof example question #12

Verify that the following Trigonometric Identities hold:

a. sin(-x) = -sin(x)

b.

c.

d. sin(2x) = 2sin(x)cos(x)

e.

f. cos(-x) = cos(x)

g.

 

Solution to this Trigonometric Identity Proof practice example question is given in the video below!






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