Question

$\csc( a) - \sin(a) \times \sec(a) - \cos(a) = 1 \div \tan(a) + \cot(a)$
Ncert question

Answer 1

Step-by-step explanation:

tanA1−cotA+cotA1−tanA=sinAcosA1−cosAsinA+cosAsinA1−sinAcos

=sin2AcosA(sinA−cosA)+cos2AsinA(cosA−sinA)

=sin3A−cos3AcosAsinA(sinA−cosA)

=sin2A+cosAsinA+cos2AcosAsinA

=1+cosAsinAcosAsinA

=1 ÷ tan + cot prove

Answer 2

Answer:

$\huge{\mathcal{\purple{A}\green{n}\pink{s}\blue{w}\purple{E}\green{r}}}$

tanA1−cotA+cotA1−tanA=sinAcosA1−cosAsinA+cosAsinA1−sinAcos

=sin2AcosA(sinA−cosA)+cos2AsinA(cosA−sinA)

=sin3A−cos3AcosAsinA(sinA−cosA)

=sin2A+cosAsinA+cos2AcosAsinA

=1+cosAsinAcosAsinA

=1 ÷ tan + cot prove