Question

If 8 cot∅ -7 = 0 find the value of :-

a) (1 + sin∅)(1- sin∅)/(1 + cos∅)(1 - cos∅)

b) Sec²∅ - 1​

Urgent!!!

Answer 1

AnswEr :

Given,

8cot(∅) - 7 = 0

$\longrightarrow$ cot ∅ = 7/8

Now,

[(1 + sin∅)(1 - sin∅)]/[(1 + cos∅)(1 - cos∅)]

$\longrightarrow$ 1 - sin²∅/ 1 - cos²∅

$\longrightarrow$ cos²∅/sin²∅

$\longrightarrow$ cot²∅

$\longrightarrow$ (7/8)²

$\longrightarrow$ 49/64

Also,

sec²∅ - 1

$\longrightarrow$ tan²∅

$\longrightarrow$ 1/cot²∅

$\longrightarrow$ 1/(49/64)

$\longrightarrow$ 64/49

Identities Used

• sin²∅ + cos²∅ = 1

• sec²∅ - tan²∅ = 1

Answer 2

Step-by-step explanation:

8cot pie =7

C0t pie =7/8

a)1^2-sin^2pie /1^2-cos^2pie

Cos^2pie/sin^2pie

Cot ^2 pie

b) cosec ^2pie