Question

if sec square tita (1-sin tita)(1+sin tita)=k find the volu of k​

Answer 1

ㅤ$\;\;\underline{\textbf{\textsf{ Given :-}}}$

• $\sf sec^2\theta(1-sin\theta)(1+sin\theta)=k$

ㅤ$\;\;\underline{\textbf{\textsf{ To Find :-}}}$

• Value of k

ㅤ$\;\;\underline{\textbf{\textsf{Solution :-}}}$

$\underline{\:\textsf{Given that :}}$

$\to \sf sec^2(1-sin\theta)(1+sin\theta)$

$\underline{\:\textsf{Then:}}$

$\dashrightarrow \sf sec^2\theta(1^2-sin^2\theta)\\\\ \dashrightarrow \sf sec^2\theta(1-sin^2\theta)$

$\dashrightarrow \sf sec^2\theta(cos^2\theta)$

$\dashrightarrow \sf \dfrac{1}{cos^2\theta}.cos^2\theta$

$\dashrightarrow \sf\ \; 1$

ㅤ$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ Value of k is \textbf{ 1}}}.$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

ㅤ$\;\;\underline{\textbf{\textsf{ Need to know :-}}}$

• $\ \; \sf (a+b)(a-b)=a^2-b^2$

• $\ \; \sf sec\theta =\dfrac{1}{cos\theta}$

• $\ \; \sf (1-sin^2\theta)=cos^2\theta$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Answer:

sin cos jsbbsjshssjsjsjsjsnmsmmsmmsmmsmkksnsnsnsnnsjsnsjnsjsjsj