Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If sin^2 (3x + 45) + cos^2 (2x + 60) = 1 then x = ............

Question

If $s i n^{2} (3 x + 45) + co s^{2} (2 x + 60) = 1$ then $x =$ ...............

60

30

15

0

Views: 709 students

Found 8 tutors discussing this question

Alexander Discussed

s i n^{2} (3 x + 45) + co s^{2} (2 x + 60) = 1

then

x =

...............

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

s i n^{2} (3 x + 45) + co s^{2} (2 x + 60) = 1

∴ s i n^{2} (3 x + 45) = 1 - co s^{2} (2 x + 60)

∴ s i n^{2} (3 x + 45) = s i n^{2} (2 x + 60)

............. [since

1 - co s^{2} θ = s i n^{2} θ

]

∴ 3 x + 45 = 2 x + 60

∴ x = 15

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes