Question

What is the value of 100cosec2A-100cot2A*plzz tell me answer

Answer 1

Given:

$\implies 100 {cosec}^{2}a - 100 {cot}^{2}a$

___________________________

Identity to be used ➽

${cosec}^{2} a - {cot}^{2} a = 1$

___________________________

Solution:-

$\implies 100 {cosec}^{2}a - 100 {cot}^{2}a$

$\implies 100 ({cosec}^{2}a - {cot}^{2}a)$

$\implies 100(1)$

$\implies \boxed{100} \: \: \red \star \: answer \red \star$

$\bullet \sf Trigonometric Values \\\\\\ \boxed{\begin{array}{c|c|c|c|c|c} \sf Angle & 0^{\circ} & 30^{\circ} & 45^{\circ} & 60^{\circ} & 90^{\circ} \\ \cline{1-6} \sin \theta & 0 & \dfrac{1}{2} & \dfrac{1}{\sqrt{2}} & \dfrac{\sqrt{3}}{2} & 1 \\ \cline{1-6} \cos \theta & 1 & \dfrac{\sqrt{3}}{2} & \dfrac{1}{\sqrt{2}} & \dfrac{1}{2} & 0 \\ \cline{1-6} \tan\theta & 0 & \dfrac{1}{\sqrt{3}} & 1 & \sqrt{3} & \textsf{Not D{e}fined}\end{array}}$

Answer 2

$\huge\underline\bold{AnSwEr,}$

Given:

$\implies 100 {cosec}^{2}a - 100 {cot}^{2}a$

___________________________

Identity to be used ,

${cosec}^{2} a - {cot}^{2} a = 1$

___________________________

Solution:-

$\implies 100 {cosec}^{2}a - 100 {cot}^{2}a$

$\implies 100 ({cosec}^{2}a - {cot}^{2}a)$

$\implies 100(1)$

$\implies \boxed{100} \: \: \red \star \: answer \red \star$

$\bullet \sf Trigonometric Values \\\\\\ \boxed{\begin{array}{c|c|c|c|c|c} \sf Angle & 0^{\circ} & 30^{\circ} & 45^{\circ} & 60^{\circ} & 90^{\circ} \\ \cline{1-6} \sin \theta & 0 & \dfrac{1}{2} & \dfrac{1}{\sqrt{2}} & \dfrac{\sqrt{3}}{2} & 1 \\ \cline{1-6} \cos \theta & 1 & \dfrac{\sqrt{3}}{2} & \dfrac{1}{\sqrt{2}} & \dfrac{1}{2} & 0 \\ \cline{1-6} \tan\theta & 0 & \dfrac{1}{\sqrt{3}} & 1 & \sqrt{3} & \textsf{Not D{e}fined}\end{array}}$

$\large{\purple{\bold{\boxed{\rm{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: }}}}}$

%#MaSterHunTer_₹