Question

Can anybody help with both answers plz

Answer 1

Hey there !!

Step-by-step explanation:

( 3 ) We know that,

1 + Cot²Ф = Cosec²Ф

Sin²Ф ( 1 + Cot²Ф ) = 1

Considering LHS we get,

⇒ Sin²Ф ( 1 + Cot²Ф )

⇒ Sin²Ф × Cosec²Ф

We know that,

⇒ Cosec Ф = 1 / SinФ

Similarly, Cosec²Ф = 1 / Sin²Ф

Substituting them in the formula we get,

⇒ Sin²Ф × 1 / Sin²Ф

Sin²Ф gets cancelled and we get 1 as Answer.

Hence LHS = RHS

Q3 ) According to the diagram,

Sin X = Opposite / Hypotenuse = AB / AC

Cosec X = 1 / Sin X = Hypotenuse / Opposite = AC / AB

Sin X × Cosec X = ( AB / AC ) × ( AC / AB )

⇒ Sin X × Cosec X = AB . AC / AC . AB

All get cancelled and we get,

Sin X × Cosec X = 1

These are the required Answers.

Hope it helped !!

Answer 2

hey mate here is your ans ..........