CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Basic Trigonometric Identities

If tanβ =2 ...

Question

If $t a n β = 2 s i n α s i n γ c o s e c (α + γ),$ then $c o t α, c o t β c o s t γ$ are in

Open in App

Solution

$t a n β = 2 s i n α s i n γ c o s e c (α + γ) s i n (α + γ) = 2 s i n α s i n γ c o t β (s i n α c o s γ + c o s α s i n α) = 2 s i n α s i n γ c o t β c o t γ + c o t α = 2 c o t β H e n c e c o t α, c o t β a n d c o t γ a r e i n A P$

Suggest Corrections

thumbs-up

0

Similar questions

tan β = 2 sin α sin γ c o s e c (α + γ)

cot α, cot β, cot γ

tan β = 2 sin α sin γ cosec (α + γ)

cot α, cot β, cot γ

tan β = 2 sin α . sin γ . cos e c (α + γ)

cot α, cot β, cot γ

2 sin α \cdot cos β \cdot sin γ = sin β \cdot sin (α + γ)

tan α, tan β, tan γ

tan β = \frac{2 sin α sin γ}{sin (α + γ)}

tan α, tan β, tan γ

are in which series where

α \neq 0 a n d γ \neq 0 a n d β \neq \frac{π}{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Pythagorean Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Basic Trigonometric Identities

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon