Question

tanx + cotx = secx cosecx​

Answer 1

Answer:

Hey ur answer is

LHS

tanx+cotx

sinx/cosx+cosx/sinx

sin^2x+cos^2x/cosxsinx

1/cosxsinx

1/cosx.1/sinx

secx.cosecx

hope it helps u

Answer 2

$\rule{300}2$

Correct Question:

Prove that

tanx + cotx = secx cosecx​

$\rule{300}2$

Your Answer:

Solving LHS

tanx + cotx

$=\frac{\sin x}{\cos x}+ \frac{\cos x}{\sin x}\\ \\=\frac{\sin x^{2}+ \cos x^{2}}{\sin x\times\cos x}\\ \\=\frac{1}{\sin x \times \cos x}\\ \\=\csc x \times \sec x$

RHS

secx. cosecx

So, LHS=RHS

proved

$\rule{300}2$

$\Huge{\red{\underline{\text{More Information:}}}}$

The trigonometric formulas used here are

• 1/ sin x = cosec x
• 1/ cos x = sec x
• tan x = sin x / cos x
• cot x = cos x / sin x
• sin²x + cos²x = 1