Math, asked by HIRESHYADAV9971, 8 months ago

If 8 tan x =15,then find the value of sin square x - cos square x

Answers

Answered by janu1154
3

Answer:

the answer is 161/289.............

Attachments:
Answered by kingsleychellakkumar
3

Answer:

Sin²x - Cos²x = 161 / 289

Step-by-step explanation:

8 tan x = 15

tan x = 15/8

tan x = Opposite side / Adjacent side.

Therefore,

(Hypotenuse)² = (Opposite side)² + (Adjacent side)²

(Hypotenuse)² = 15² + 8²

(Hypotenuse)² = 225+64

(Hypotenuse)²=289

Hypotenuse = √289

Hypotenuse = 17.

∴Sin x = Opposite side / Hypotenuse

Sin x = 15 / 17

Sin²x = 225 / 289

Cos x = 8 / 17

Cos²x = 64 / 289

∴Sin²x - Cos²x = 225 / 289 - 64 / 289

Sin²x - Cos²x = (225-64) / 289

Sin²x - Cos²x = 161 / 289

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