Most Important Type 1
Que. 1
Prove that :
`\frac{\cos A-\sin A+1}{\cos A+\sin A-1}=\cosecA+cotA`
Solution : Video Lecture
Que. 2
Prove that :
`\frac{1+\sin A-\cos A}{1+\sin A+\cos A}=\sqrt{\frac{1-\cos A}{1+\cos A}}`
Solution : Video Lecture
Que. 3
Prove that :
`\frac{\tan\theta+sec\theta-1}{\tan\theta-sec\theta+1}=sec\theta+\tan\theta=\frac{1+\sin\theta}{\cos\theta}`
Solution : Video Lecture
Que. 4
Prove that :
`\frac{1+\cos\theta+\sin\theta}{1+\cos\theta-\sin\theta}=\frac{1+\sin\theta}{\cos\theta}`
Solution : Video Lecture
Que. 5
Prove that
`\frac{\sin\theta-\cos\theta+1}{\sin\theta+\cos\theta-1}=\frac1{sec\theta-\tan\theta}`
Solution : Video Lecture
Most Important Type 2
Que. 1
If `\tan\theta+\sin\theta=m` and `\tan\theta-\sin\theta=n` show that `m^2-n^2=4\sqrt{mn}`
Solution : Video Lecture
Que. 2
If `\cos ec\theta-\sin\theta=m` and `sec\theta-\cos\theta=n` prove that `\left(m^2n\right)^\frac2 3+\left(mn^2\right)^\frac2 3=1`
Solution : Video Lecture
Que. 3
PIf `\tan\theta+\sin\theta=m` and `\tan\theta-\sin\theta=n` prove that `\left(m^2-n^2\right)^2=16mn`
Solution : Video Lecture
Que. 4
If `a\cos^3\theta+3a\sin^2\theta\cos\theta=m` and `a\sin^3\theta+3a\sin\theta cos^2\theta\cos\theta=n`prove that `\left(m+n\right)^\frac2 3+\left(m-n\right)^\frac2 3=2a^\frac2 3`
Solution : Video Lecture
Que. 5
If `\cos ec\theta-\sin\theta=a` and `sec\theta-\cos\theta=b` prove that `a^2b^2\left(a^2+b^2+3\right)=1`
Solution : Video Lecture
Que. 6
If `x\sin^3\theta+y\cos^3\theta=\sin\theta\cos\theta` and `x\sin\theta=y\cos\theta` and `x^2+y^2=1`
Solution : Video Lecture
Que. 7
If `\left(\frac xa\sin\theta-\frac yb\cos\theta\right)=1` and `\left(\frac xa\cos\theta+\frac yb\sin\theta\right)=1` prove that `\left(\frac{x^2}{a^2}+\frac{y^2}{b^2}\right)=2`
Solution : Video Lecture
Que. 5
Que. 5
Prove that :
Que. 5
Prove that :
Que. 5
Prove that :
Que. 5
Prove that :
Que. 5
Prove that :
Que. 5
Prove that :
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