Question

15 cot A =8. Find all other trigonetric ratios​

Answer 1

Answer:

${\huge{\fcolorbox{yellow}{YELLOW}{AnSweR}}}$

The dalton or unified atomic mass unit is a unit of mass widely used in physics and chemistry. It is defined as 1/12 of the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest. The atomic mass constant, denoted mᵤ is defined identically, giving mᵤ = m/12 = 1 Da.

Answer 2

GiveN :-

• Value of 15 cot A = 8 .

To FinD :-

• All other trigonometric Ratios.

AnsweR :-

⇒ 15 cot A = 8 .

⇒ cot A = 8/15 .

Now , we know that cot A will be equal to base/perpendicular . So , in order to find other trignometric Ratios we should find hypontenuse.

Let the given ratio be 8x : 15x .

$\boxed{\boxed{\red{\sf hypontenuse^2=perpendicular^2+base^2}}}$

⇒ hypontenuse ² = base² + perpendicular ²

⇒ hypontenuse ² = (8x)² + (15x)²

⇒ hypontenuse ² = 64x² + 225x²

⇒ hypontenuse ² = 289x²

⇒ hypontenuse = √289x²

⇒ hypontenuse = 17x

And , we know that ,

• sin A= perp./hypo.
• cos A = base/hypo.
• tan A = perp./base
• sec A = hypo./base
• cosec A = hypo./perp.

Hence ,

1. sinA = 15/17
2. cos A = 8/17
3. tan A = 15/8
4. sec A = 17/8
5. cosec A = 17/15

$\Large{\boxed{\pink{\sf And\:we\:are\:done\:!}}}$