Search for: cos42θ+2sin22θ=17(cosθ+sinθ)8 if θ = cos42θ+2sin22θ=17(cosθ+sinθ)8 if θ = A105°B175°C280°D340° Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:1−sin22θ2+2sin22θ=17(1+sin2θ)4⇒ 1+x4=17(1+x)4, where x=sin2θ or x2+1x2=17x+1x+22If t=x+1x, we get t2−2=17(t+2)2⇒8t2+34t+35=0 ∴ x+1x=t=−52,−74But x+1x cannot lie between -2 and 2,x+1x=−52⇒x=sin2θ=−12∴ θ=105∘,165∘,285∘,345∘ Related content CBSE Class 7 English Honeycomb Chapter 2 A Gift of Chappals MCQ Questions with Answers Top Career Option and Courses after 12th 2024: Arts, Commerce & Science Students CBSE Class 7 English MCQ Questions with Answers CBSE Class 12 English Lost Spring MCQ with Answers Heron’s Formula Class 9 Worksheet Maths Chapter 12 CBSE Class 12 English The Last Lesson MCQ with Answers Was NEET 2024 Paper Leaked? Check NTA Official Press Release CBSE Class 10 English Chapter 1 Worksheets -A Letter to God Disaster Management Project for Class 9 ICSE ISC Topper List 2024, Check ISC Class 12 Topper List for Science, Commerce, Arts