MyQuestionIcon

1

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

Trigonometric Ratios of Multiples of an Angle

If α=sin -1√3...

Question

If α = sin^{-1 then}

A

∝ > β

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

∝ = β

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

∝ < β

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

∝ + β = 2 π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
∝ < β

Now,

Suggest Corrections

thumbs-up

0

Similar questions

α = {sin}^{- 1} \frac{\sqrt{3}}{2} + {sin}^{- 1} \frac{1}{3}

β = {cos}^{- 1} \frac{\sqrt{3}}{2} + {cos}^{- 1} \frac{1}{3}

α, β, γ

are three angles given by

α = 2 t a n^{- 1} (\sqrt{2} - 1), β = 3 s i n^{- 1} \frac{1}{\sqrt{2}} + s i n^{- 1} (\frac{- 1}{2}) a n d γ = c o s^{- 1} (\frac{1}{3}),

α, β

γ

are three angles given by

α = 2 {tan}^{- 1} (\sqrt{2} - 1), β = 3 {sin}^{- 1} \frac{1}{\sqrt{2}} + {sin}^{- 1} (- \frac{1}{2})

γ = {cos}^{- 1} \frac{1}{3} .

Inverse circular functions,Principal values of

{s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x

{t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}

x y < 1

π + {t a n}^{- 1} \frac{x + y}{1 - x y}

x y > 1

0 \leq x \leq \frac{1}{2}

then the value of

t a n [{s i n}^{- 1} {\frac{x}{\sqrt{2}} + \frac{\sqrt{1 - x^{2}}}{\sqrt{2}}} - {s i n}^{- 1} x]

α = {s i n}^{- 1} \frac{4}{5} + {s i n}^{- 1} \frac{1}{3}

β = {c o s}^{- 1} \frac{4}{5} + {c o s}^{- 1} \frac{1}{3}

α

β

are acute angles such that

c o s^{2} α + c o s^{2} β = 3 / 2

α

β

α + β

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Multiple and Sub Multiple Angles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Trigonometric Ratios of Multiples of an Angle

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon