Mathematics

# $\Delta ABC$ is a right angled at A, the value of tan B $\times$ tan C is:

1

##### SOLUTION
In $\triangle ABC$
$\angle A+\angle B+\angle C={ 180 }^{ \circ }\\ \angle B+\angle C={ 180 }^{ \circ }-{ 90 }^{ \circ }={ 90 }^{ \circ }\\ \angle C={ 90 }^{ \circ }-\angle B$
$\tan { B } \times \tan { C } \\ =\tan { B } \times \tan { \left( { 90 }^{ \circ }-\angle B \right) } \\ =\tan { B } \times \cot { B } \\ =\tan { B } \times \dfrac { 1 }{ \tan { B } } \\ =1$

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
In the given figure, $p^o =q^o =r^o ,$ find each angle.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Angles of degree measure $(2x+4)$ and $(x-1)$ are linear pair of angle. Find them ?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
If two adjacent angles are equal, then each angle measures $90^o$.
• A. True
• B. Ambiguous
• C. Data Insufficient
• D. False

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 One Word Medium
If sum of measures of two angles is $180^{o}$, then the are _______.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
State the type of each of the following angles:

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020