26.4k views
4 votes
Help please on this question

1 Answer

1 vote

Step 1

Write the equation

sin(7x + 1) = cos(x + 33)

Step 2

From the complementary angle theorem

sinx = cos(90 - x)

Therefore

sin(7x + 1) = cos(x + 33)

cos(90 -[7x + 1]) = cos(x + 33)

cos(90 - 1 - 7x) = cos(x + 33)

cos(89 - 7x) = cos(x + 33)

89 - 7x = x + 33

89 - 33 = x + 7x

56 = 8x

x = 56/8

x = 7

sin(7x + 1)

sin(7x7 + 1)

sin(49 + 1)

sin50

cos(x + 33)

cos(7+33)

cos40

Angle 1 = 50

Angle 2 = 40

User Oswin
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories