Q. 7 E5.0( 3 Votes )
sin (50° +θ) — co
Answer :
Consider L.H.S.
= sin (50° +θ) — cos (40° — θ) + tan 1° tan 10° tan 80° tan 89°
= sin ((90°-(40° - θ)) — cos (40° — θ) + (tan 1° tan 89°)(tan10° tan 80°)
= cos (40° - θ) - cos (40° - θ) + [tan 1° tan (90°-1°)][tan10° tan(90°-10°)]
= 0 + [(tan 1° cot 1°] [tan10° cot 10°]
= 0 + [1] × [1]
= 0 + 1 = 1 = R.H.S.
Hence, proved.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Ratios of Specified Angles38 mins
Trigonometric Ratios46 mins
Trigonometric Identities55 mins
Reflection of light-238 mins
Outcomes of Democracy43 mins
Refraction of Light-241 mins
Heating Effect of Electric Current40 mins
Application of Trigo Important Questions44 mins
Sum of n Terms of AP56 mins
Arithmetic Progression and 'nth' Term of AP55 mins
Trigonometric Ratios of Specified Angles38 minsTrigonometric Ratios46 minsTrigonometric Identities55 minsReflection of light-238 minsOutcomes of Democracy43 minsRefraction of Light-241 minsHeating Effect of Electric Current40 minsApplication of Trigo Important Questions44 minsSum of n Terms of AP56 minsArithmetic Progression and 'nth' Term of AP55 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
Express the follo
KC Sinha - MathematicsFill up the blank
KC Sinha - MathematicsIf A+B=90o</
KC Sinha - MathematicsFill up the blank
KC Sinha - MathematicsProve that :
<
Choose the correc
RS Aggarwal - MathematicsFind the value of
KC Sinha - MathematicsExpress the follo
KC Sinha - MathematicsIf A, B and C are
RS Aggarwal - Mathematics