jee-main 2021 Q68

jee-main · India · session3_20jul_shift2 Standard trigonometric equations Evaluate trigonometric expression given a constraint

Let in a right angled triangle, the smallest angle be $\theta$. If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then $\sin \theta$ is equal to:
(1) $\frac { \sqrt { 5 } + 1 } { 4 }$
(2) $\frac { \sqrt { 5 } - 1 } { 2 }$
(3) $\frac { \sqrt { 2 } - 1 } { 2 }$
(4) $\frac { \sqrt { 5 } - 1 } { 4 }$

Let in a right angled triangle, the smallest angle be $\theta$. If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then $\sin \theta$ is equal to:\\
(1) $\frac { \sqrt { 5 } + 1 } { 4 }$\\
(2) $\frac { \sqrt { 5 } - 1 } { 2 }$\\
(3) $\frac { \sqrt { 2 } - 1 } { 2 }$\\
(4) $\frac { \sqrt { 5 } - 1 } { 4 }$

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