If 5 tan $\alpha \backslash alpha$ = 4, then $\frac{5sin\alpha -3cos\alpha }{5sin\alpha +2cos\alpha }=\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\backslash frac\{5\; sin\backslash ,\; \backslash alpha\; -\; 3\; cos\backslash ,\; \backslash alpha\; \}\{5\; sin\backslash ,\; \backslash alpha+2\; cos\backslash ,\; \backslash alpha\; \}\; =\; .......$

$\sqrt{1+si{n}^2\theta +co{s}^2\theta }=\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\backslash sqrt\{1\; +\; sin^2\backslash ,\; \backslash theta\; +\; cos^2\backslash ,\; \backslash theta\}\; =\; .......$

tan 2A = 1 then A = …………

If x = a sec$\theta \backslash theta$ cos$\varphi \backslash phi$, y = b sec$\theta \backslash theta$ sin$\varphi \backslash phi$, z = c tan $\theta \backslash theta$, then $\frac{x^2}{a^2}+\frac{y^2}{b^2}\backslash frac\{x^2\}\{a^2\}\; +\; \backslash frac\{y^2\}\{b^2\}$ = ………

If 7$si{n}^2\theta sin^2\; \backslash theta$ + 3 $co{s}^2\theta cos^2\; \backslash theta$ = 5, then tan $\theta \backslash theta$ = …………

If sin$\theta \backslash theta$ + $si{n}^2\theta sin^2\backslash theta$ = 1, then $co{s}^2\theta cos^2\backslash theta$ + $co{s}^4\theta cos^4\backslash theta$ = …………

If cot$\theta \backslash theta$ + cosec$\theta \backslash theta$  = 5, then cos$\theta \backslash theta$  = ………

$\frac{cos\theta }{1-tan\theta }+\frac{sin\theta }{1-cot\theta }\backslash frac\{cos\backslash theta\}\{1-tan\backslash theta\}\; +\; \backslash frac\{sin\backslash theta\}\{1-cot\backslash theta\}$= ………

If tan$\theta \backslash theta$ = $\frac{7}{8}\backslash frac\{7\}\{8\}$ , then the value of $\frac{(1+sin\theta )(1-sin\theta )}{1+cos\theta )(1-cos\theta )}\backslash frac\{(1+sin\; \backslash theta)(1-sin\; \backslash theta)\}\{1+cos\; \backslash theta)(1-cos\; \backslash theta)\}$...........

If cosec$\theta \backslash theta$ + cot$\theta \backslash theta$ = P, then value of cos$\theta \backslash theta$ = …………