Mathematics

In $\Delta ABC$, if $\angle A+\angle B=90^{\circ}$, cot $B=\dfrac{3}{4}$, then the value of tan A is :

$\dfrac{3}{4}$

SOLUTION
$\angle A+\angle B={ 90 }^{ \circ }\\ \angle B={ 90 }^{ \circ }-\angle A$
$\cot { B } =\dfrac { 3 }{ 4 } \\ \cot { \left( { 90 }^{ \circ }-\angle A \right) } =\dfrac { 3 }{ 4 } \\ \tan { A } =\dfrac { 3 }{ 4 }$

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 87

Realted Questions

Q1 Subjective Medium
In each of the following figure AB || CD. Find the value of x in each case.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Multiple Correct Medium
Mark the correct alternative of the following.
$\angle A$ is an obtuse angle. The measure of $\angle A$ and twice its supplementary differ by $30^o$. Then, $\angle A$ can be?
• A. $140^o$
• B. $120^o$
• C. $130^o$
• D. $110^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
If two adjacent angles are supplementary, then they form a ..

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
From the adjoining figure, calculate the values of $a$.
• A. $46^o$
• B. $56^o$
• C. none of the above
• D. $38^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
Find the measure of the complementary angle of each of $20^o$
• A. $50^o$
• B. $160^o$
• C. $80^o$
• D. $70^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020