Question

10 m sec is equal to 10^-x sec then find the value  of ‘x’?​

Answer 1

Answer:

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Answer 2

Explanation:

Given

2

secx+tanx=1

⟹

cosx

2

+

cosx

sinx

=1

(secx=

cosx

1

,tanx=

cosx

sinx

)

⟹

2

+sinx=cosx

⟹cosx−sinx=

2

⟹

2

1

cosx−

2

1

sinx=1

⟹cos

4

π

cosx−sin

4

π

sinx=cos0

⟹cos(

4

π

+x)=cos0

(cos(A+B)=cosAcosB−sinAsinB)

⟹cos(

4

π

+x)=cos0

⟹

4

π

+x=2nπ

(cosk=0⟹k=2nπ)

⟹x=2nπ−

4

π