Home › UP Board Class 12 › mathematics › Inverse Trigonometric Functions › The value of $\sin(\tan^{-1}(3/4))$ is:
The value of $\sin(\tan^{-1}(3/4))$ is:
A$3/4$, the same number as the tangent argument here
B$4/5$, taking the cosine of the angle on the chart
C$1/2$, ignoring the triangle relationships on the school chart
D$3/5$, since opp = 3, adj = 4 gives hyp = 5 and sin = 3/5
Answer & Solution
Correct answer: D. $3/5$, since opp = 3, adj = 4 gives hyp = 5 and sin = 3/5
Right triangle with opp = 3, adj = 4, hyp = 5; $\sin = 3/5$.
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