Question

sinθ/1-cotθ+cosθ/1-tanθ is equal to
A. 0
B. 1
C. sin θ + cos θ
D. sin θ − cos θ

Answer 1

Given:

sinx/ 1-cot x + cosx /1- tanx

To find:

Solution to the given expression

Answer:

• For solving this expression convert tan x and cot x in terms of sinx and cosx.
• $\frac{sin x}{1 - cos x} + \frac{cos x}{1 - tan x}$
• $\frac{sin x}{1 - \frac{cos x}{sin x} } +\frac{cos x}{1 - \frac{sin x}{cos x} }$
• $\frac{sin^{2} x}{sin x - cos x} + \frac{cos^{2} x}{cos x - sin x}$
• $\frac{sin^{2} x - cos^{2} x}{sin x - cos x} = sin x + cos x$
• After converting and solving accordingly and we get the value sinx + cosx as the answer.

Hence, option C is the right answer.

Answer 2

Answer:

Your correct answer is C and I have proved too in this upper solution

Step-by-step explanation:

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