Maths / Introduction to Trigonometry / Trigonometric Identities

QUESTION
 

If   large sinTheta =frac{a^2-b^2}{a^2+b^2}, then   large cosec Theta +cot Theta.

EXPLANATION
Explain TypeExplanation Content
Text

sinTheta =frac{a^2-b^2}{a^2+b^2}

therefore    frac{AC}{AB}=frac{a^2-b^2}{a^2+b^2}

Now in Delta ABC,

angle B=Theta andangle C=90^0

(a^2_b^2)^2=BC^2+(a^2-b^2)^2

therefore  BC = 2ab

cosecTheta =frac{a^2+b^2}{a^2-b^2},cotTheta =frac{BC}{AC}=frac{2ab}{a^2-b^2}

cosecTheta +cotTheta =frac{a^2+b^2}{a^2-b^2}+frac{2ab}{a^2-b^2}=frac{a+b}{a-b}

View Contents
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)
Self Learning
Testimonials
No Preview
PARENT FEEDBACK c/o Arpit Aggarwal C/o ABHYAS Academy
 10th
Abhyas has created a habbit of self study in him.He took his studies very seriously and prepare his tests on his own without help.
Back
Courses We Offer
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)