Chapter 7: Q. 8 (page 485)

True or False $\tan 75^{o} = \tan 30^{o} + \tan 45^{o}$

Short Answer

Expert verified

$\tan 75^{o} = \tan 30^{o} + \tan 45^{o}$ is false.

Step by step solution

Step 1. Given information

Given that $\tan 75^{o} = \tan 30^{o} + \tan 45^{o}$ .

We have to tell whether this is true or false.

Step 2. Apply the sum formula

We know $\tan (α + β) = \frac{\tan α + \tan β}{1 - \tan α \tan β}$ .

We can write $75^{o} = 30^{o} + 45^{o}$ .

$\tan (30^{o} + 45^{o}) = \frac{\tan 30^{o} + \tan 45^{o}}{1 - \tan 30^{o} \tan 45^{o}}$

Therefore, $\tan 75^{o} = \tan 30^{o} + \tan 45^{o}$ is false.

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True or False $\tan 75^{o} = \tan 30^{o} + \tan 45^{o}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Apply the sum formula

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True or Falsetan75o=tan30o+tan45o

Short Answer

Step by step solution

Step 1. Given information

Step 2. Apply the sum formula

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

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Calculus

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

True or False $\tan 75^{o} = \tan 30^{o} + \tan 45^{o}$