CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving a Quadratic Equation by Factorization Method

Prove that 1 ...

Question

Prove that 1÷cosec A-cot A -1÷sin A =1÷sin A -1÷cosex A+cot A

Open in App

Solution

LHS=1/(cosecA-cotA) -1/sinA =(cosecA+cotA)/cosec^2A-cot^2A) -cosecA
=cosecA+cotA-cosecA
=cotA
RHS=1/sinA-1/(cosecA+cotA)
=cosecA-(cosecA-cotA)/(cosec^2A-cot^2A)
=cosecA-(cosecA-cotA)
=cotA
LHS=RHS

Suggest Corrections

thumbs-up

4

Similar questions

\frac{1}{c o s e c A - cot A} - \frac{1}{sin A} = \frac{1}{sin A} - \frac{1}{c o s e c A + cot A}

Q. Prove that :

\frac{cos A - sin A + 1}{cos A + sin A - 1} = cos e c A + cot A

Q. Prove the following statements.

\frac{1}{c o s e c A - cot A} - \frac{1}{sin A} = \frac{1}{sin A} - \frac{1}{c o s e c A + cot A}

Q. Prove that :

\frac{cot A + cos e c A - 1}{cot A - cos e c A + 1} = \frac{1 + cos A}{sin A}

Q. Prove the identity:

\frac{1}{c o s e c A - c o t A} - \frac{1}{s i n A} = \frac{1}{s i n A} = \frac{1}{c o s e c A + c o t A}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE by Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solving a Quadratic Equation by Factorization Method

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon