Question

If 15cot =8, then find the value of (1-sin)(1+sin)÷(1+cos)(1-cos).

Answer 1

Answer

Cot=8/15=B/P

Let B=8x

P=15x

So H=17x

Sin=P/H=15/17

Cos=B/H=8/17

1-sin^2÷1-cos^2

cos^2÷sin^2

8/17÷15/17

8/15

Answer 2

15 cot A = 8

cot A = 8/15

cot A = base/perpendicular = 8/15

so, hypotenuse = √(8)²+(15)² = 17

Other Trigonometric values are :

sin A = perpendicular/hypotenuse = 15/17

cos A = base/perpendicular = 8/17

tan A = perpendicular/base = 15/8

cosec A = hypotenuse/perpendicular = 17/15

sec A = hypotenuse/base = 17/8