Question

If Sin =/
then write the value of Cos .

Answer 1

Answer:

cos

12

x+3cos

10

x+3cos

8

x+cos

6

x

sinx+sin

2

x=1

sinx=1−sin

2

x

sinx=cos

2

x

now,

cos

12

x+3cos

10

x+3cos

8

x+cos

6

x

=(cos

4

x)

3

+3(cos

4

x)

2

cos

2

x+3cos

4

x(cos

2

x)

2

+(cos

2

x)

3

=(sin

2

x)

3

+3sin

4

x×cos

2

x+3sin

2

x×cos

4

x+(cos

2

x)

3

=a

3

+b

3

+3a

2

b+3ab

2

=(sin

2

x+cos

2

x)

3

=1

3

=1

Answer 2

${\huge{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{AnSwEr..}}}}}}}}}$

=》 Sin = /

=》 (Sin)² = (/)²

=》 Sin² = /².

=》 1-Cos² = /²

{Since sin² = 1-cos² by id}

=》 -Cos² = /²-1

=》 Cos² = 1-/²

=》 Cos = $\sqrt{1-\²}$

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