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# First Year Math Inverse Trigonometric Functions

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Class 9Class 10First YearSecond Year

Q.21 \operatorname{Tan}^{-1} \frac{1}{2}+\operatorname{Tan}^{-1} \frac{1}{3}= (a) \frac{\pi}{6} (b) \frac{\pi}{4} (c) \frac{\pi}{2} (d) \pi Gujrantwala Board; 2008

$Q.21 \operatorname{Tan}^{-1} \frac{1}{2}+\operatorname{Tan}^{-1} \frac{1}{3}= (a) \frac{\pi}{6} (b) \frac{\pi}{4} (c) \frac{\pi}{2} (d) \pi Gujrantwala Board; 2008$

11. \operatorname{Tan}^{-1} \frac{1}{13}+\operatorname{Tan}^{-1} \frac{1}{4}=\operatorname{Tan}^{-1} \frac{1}{3}

$11. \operatorname{Tan}^{-1} \frac{1}{13}+\operatorname{Tan}^{-1} \frac{1}{4}=\operatorname{Tan}^{-1} \frac{1}{3}$

8. Find \sin \left(\sin ^{-1} \frac{3}{5}+\sin ^{-1} \frac{4}{5}\right) Prove that

$8. Find \sin \left(\sin ^{-1} \frac{3}{5}+\sin ^{-1} \frac{4}{5}\right) Prove that$

\[\sin \left(\cos ^{-1} \theta+\sin ^{-1} \theta\right)=\text { ? }\]A. 4B. 3C. 2D. 1

\[\sin \left(\cos ^{-1} \theta+\sin ^{-1} \theta\right)=\text { ? }\]A. 4B. 3C. 2D. 1

Example 3. Solve 2 \sin ^{2} \theta+2 \sqrt{2} \sin \theta-3=0 .

$Example 3. Solve 2 \sin ^{2} \theta+2 \sqrt{2} \sin \theta-3=0 .$