Math, asked by trivedikhushi447, 3 days ago

a If sin e 24 0 z then find cos e 5​

Answers

Answered by 7486uday
1

Step-by-step explanation:

If sinθ+sin

2

θ=1, find the value of :-

cos

12

θ+3cos

10

θ+3cos

8

θ+cos

6

θ+2cos

4

θ+2cos

2

θ−2.

Medium

Solution

verified

Verified by Toppr

Consider the given data.

sinθ+sin

2

θ=1

sinθ=1−sin

2

θ

sinθ=cos

2

θ

We have,

=cos

12

θ+3cos

10

θ+3cos

8

θ+cos

6

θ+2cos

4

θ+2cos

2

θ−2

=cos

12

θ+3cos

10

θ+3cos

8

θ+cos

6

θ+2(cos

4

θ+cos

2

θ−1)

=(cos

4

θ+cos

2

θ)

3

+2(cos

4

θ+cos

2

θ−1)

Since, sinθ=cos

2

θ

Therefore,

=(sin

2

θ+sinθ)

3

+2(sin

2

θ+sinθ−1)

=1

3

+2(1−1)

=1+0

=1

Hence, the required value is 1.

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