If ` Cot A= 4/3 and (A+ B) = 90° ` ,What is the Value of Tan B? - Mathematics

Question

If $\cot A = \frac{4}{3} and (A + B) = 90 °$ ,what is the value of tan B?

Solution

We have ,

$\cot A = \frac{4}{3}$

⇒ $\cot (90 ° - B) = \frac{4}{3} (A s, A + B = 90 °)$

∴ tanB = $\frac{4}{3}$

shaalaa.com

Trigonometric Identities

Is there an error in this question or solution?

Q 24 Q 23 Q 25

Chapter 8: Trigonometric Identities - Exercises 3

APPEARS IN

RS Aggarwal Mathematics [English] Class 10

Chapter 8 Trigonometric Identities
Exercises 3 | Q 24

Video TutorialsVIEW ALL [6]

RELATED QUESTIONS

Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

$\frac{\cos A}{1 + \sin A} + \frac{1 + \sin A}{\cos A} = 2 \sec A$

Prove the following trigonometric identities.

sec A (1 − sin A) (sec A + tan A) = 1

Prove the following trigonometric identities

cosec⁶θ = cot⁶θ + 3 cot²θ cosec²θ + 1

Given that:
(1 + cos α) (1 + cos β) (1 + cos γ) = (1 − cos α) (1 − cos α) (1 − cos β) (1 − cos γ)

Show that one of the values of each member of this equality is sin α sin β sin γ

Prove the following identities:

$\sqrt{\frac{1 - \sin A}{1 + \sin A}} = \frac{\cos A}{1 + \sin A}$

If sin A + cos A = p and sec A + cosec A = q, then prove that : q(p² – 1) = 2p.

Prove that:

$\sqrt{\sec^{2} A + \cos e c^{2} A} = \tan A + \cot A$

$(\sec^{2} θ - 1) (\cos e c^{2} θ - 1) = 1$

Write the value of $(\sin^{2} θ \frac{1}{1 + \tan^{2} θ})$ .

If cosec² θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ.

Write True' or False' and justify your answer the following:

$\cos θ = \frac{a^{2} + b^{2}}{2 a b}$ where a and b are two distinct numbers such that ab > 0.

If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ =

Prove the following identity :

$(1 - \sin^{2} θ) \sec^{2} θ = 1$

Prove the following identity :

$\frac{1}{\tan A + \cot A} = \sin A \cos A$

Prove the following identity :

$\frac{\cos e c A}{\cos e c A - 1} + \frac{\cos e c A}{\cos e c A + 1} = 2 \sec^{2} A$

Without using trigonometric identity , show that :

${\sin 42}^{\circ} {\sec 48}^{\circ} + {\cos 42}^{\circ} \cos e c 48^{\circ} = 2$

Prove that:

$\sqrt{\frac{\sec θ - 1}{\sec θ + 1}} + \sqrt{\frac{\sec θ + 1}{\sec θ - 1}} = 2 \cos e c θ$

Prove that sin( 90° - θ ) sin θ cot θ = cos²θ.

Prove that $\frac{\tan θ + \sin θ}{\tan θ - \sin θ} = \frac{\sec θ + 1}{\sec θ - 1}$

Prove that sin θ (1 – tan θ) – cos θ (1 – cot θ) = cosec θ – sec θ

If $Cot A = \frac{4}{3} and (A + B) = 90 °$ ,What is the Value of Tan B? - Mathematics

Advertisements

Advertisements

Question

Solution

APPEARS IN

Video TutorialsVIEW ALL [6]

RELATED QUESTIONS

Select a course

If andCotA=43and(A+B)=90° ,What is the Value of Tan B? - Mathematics

Advertisements

Advertisements

Question

SolutionShow Solution

APPEARS IN

Video TutorialsVIEW ALL [6]

RELATED QUESTIONS

Select a course

If $Cot A = \frac{4}{3} and (A + B) = 90 °$ ,What is the Value of Tan B? - Mathematics

Solution