Question

Find all other trigonometric ratios in terms of sin A
with explanation...​

Answer 1

Answer:

sinA=2sinA/2.cosA/2

sin2A=2sinA.cosA

sin3A=3sinA-4sin^3A

Step-by-step explanation:

Answer 2

Answer:

Hi there,

Here we need to show all other trigonometric ratios in terms of sinA

We know,

$cos^2A = 1- sin^2A\\so,\\cosA = \sqrt{1-sin^2A}$

So,

$secA = \frac{1}{cosA}\\so,\\secA = \frac{1}{\sqrt{1-sin^2A} }$

Then for cosecA,

$cosecA = \frac{1}{sinA}$

For tanA,

$tanA = \frac{sinA}{cosA} \\\\= tanA = \frac{sinA}{\sqrt{1-sin^2A}}$

For cotA,

$cotA = \frac{cosA}{sinA}\\\\=cotA =\frac{\sqrt{1-sin^2A}}{sinA}$

And here we have our answers,

Hope it helps you,

All the best.