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Grade 10Trigonometry

If sec a.sin(36+a)=1 then find the value of a so that a and 36 +a are acute angles.Find a if sin 5a = cos 4a where 4a and 5a are acute angles. I will be highly obliged to for both the answers.

Vaibhav gupta

8 Years agoGrade 10

1 Answer

Utsav Basu

Approved Tutor Answer8 Years ago

Ans.: 1)

sec a * sin (36 + a) = 1

or, sin (36 + a) = cos a

or, sin (36 + a) = sin (90 – a)

or, 36 + a = 90 – a

or, a = 27

Ans.: 2)

sin 5a = cos 4a

or, sin 5a = sin (90 – 4a)

or, 5a = 90 – 4a

or, a = 10

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