Question

Can someone please solve this with explanation? I am finding this quite difficult.​

Answer 1

(First Refer to Attachment)

We have first simplified that given equation, now let's solve further :-

→ sec∅ = √(1 + tan²∅)

→ sec∅ = √(1 + 4²/3²)

→ sec∅ = √[(9 + 16)/9]

→ sec∅ = ± 5/3

On substituting value we get,

→ 2 × 5/3 = 10/3 = R.H.S

Points to remember

• 1 - sin²∅ = cos²∅
• Do rationalizing
• Root will cancel by square
• 1/cos∅ = sec∅

Hence Proved