If sin theta + cos theta = m and sec theta + | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(c) $n({m^2} - 1) = (\sec 	heta + {m{cosec}}	heta ).2\sin 	heta \cos 	heta $                  &nbsp

Vedclass · Accepted Answer

$2m$

Vedclass · Answer

(c) $n({m^2} - 1) = (\sec 	heta + {m{cosec}}	heta ).2\sin 	heta \cos 	heta $                                                                                ($\because$ ${m^2} = 1 + 2\sin 	heta \cos 	heta $)

$ = \frac{{\sin 	heta + \cos 	heta }}{{\sin 	heta .\cos 	heta }}.2\sin 	heta \cos 	heta = 2m$.

If $\sin \theta + \cos \theta = m$ and $\sec \theta + {\rm{cosec}}\theta = n$, then $n(m + 1)(m - 1) = $

Similar Questions

At what time between $10\,\,O'clock$ and $11\,\,O 'clock$ are the two hands of a clock symmetric with respect to the vertical line (give the answer to the nearest second)?

Find the radian measures corresponding to the following degree measures:

$-47^{\circ} 30^{\prime}$

Find the degree measure of the angle subtended at the centre of a circle of radius $100 \,cm$ by an arc of length $22\, cm$ ( Use $\pi=\frac{22}{7}$ ).

Which of the following relations is correct

Find the radius of the circle in which a central angle of $60^{\circ}$ intercepts an arc of length $37.4 \,cm$ ( use $\pi=\frac{22}{7}$ ).