Problem 25 Easy Difficulty

Prove the following:
$$
\cos 6 x=32 \cos ^{6} x-48 \cos ^{4} x+18 \cos ^{2} x-1
$$

Answer

Related Courses

Precalculus

NCERT Class 11 - Math

Chapter 3

Trigonometric Functions

Section 3

Trigonometric Functions

Discussion

You must be signed in to discuss.

Top Precalculus Educators

Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Video Transcript

in discussion we have to prove that go six X equal to 32 times co sex to the pole six negative 48 times co sex to the powerful positive 18 times of course squad X negative one. So now here we take Alexis call sex. Sorry six X. Now here we have to show that Alex is equal to or ridges. So we know that of course to a equal to two times girls choir E 91. So now you can write like that called six X of course two times three eggs. So now we apply that formula and here we get two times courses choir three X negative one. Now here we have a formula for goes three equal to four times goes cube bags, three E negative three times goes A now we apply that formula here so we get two times four times coast cube bags negative three times. Call sex to the power to negative one. Now we simplify this. So here we get two times 16 times cortex to the power six negative 24 times because acts to the powerful for the two nine Cool to score X negative one. Now we simplify this. And here we get 32 times cause X to the power six negative 48 times goes acts to the powerful plus 18 times go square X negative one. So you can see that it is the value of oranges. So here we can say alleges equal to oranges. So hands proved and it is our final answer.

We have video lessons for 83.41% of the questions in this textbook