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Chapter 7: Q. 7 (page 485)

True or Falsesin(α+β)=sinα+sinβ+2sinαsinβ

Short Answer

Expert verified

sin(α+β)=sinα+sinβ+2sinαsinβis false.

Step by step solution

01

Step 1. Given information

Given that sin(α+β)=sinα+sinβ+2sinαsinβ.

We have to tell whether this is true or false.

02

Step 2. Write the sum of sine function formula

The sum of sine function formula is sin(α+β)=sinαcosβ+sinβcosα.

Therefore, the given equation is false.

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Most popular questions from this chapter

Show that the difference quotient for f(x)=cosxis given by


role="math" localid="1646431168099" f(x+h)-f(x)h=cos(x+h)-cos(x)h=-sinx·sinhh-cosx·1-coshh

(a) sinπ4·cosπ3=______

(b)tanπ4-sinπ6=________

tan2θ-sec2θ

sin2θ2=______2.

Establish each identity.

1+cosθ+sinθ1+cosθ-sinθ=secθ+tanθ
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