Choose the correct option- 1-tan-1-cosec-

The correct option is D 2(C) is correct (1 + tan θ + sec θ ) (1 + cot θ cosec θ ) = (1+ sin θ/cos θ +1/cos θ ) (1+ cos θ/sin θ 1/sin θ ) = cos θ +sin θ ...

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

Byju's Answer

Standard X

Mathematics

Trigonometric Ratios

Choose the co...

Question

Choose the correct option.
$(1 + t a n θ + s e c θ) (1 + c o t θ - c o s e c θ) =$

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

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

-1

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

Open in App

Solution

The correct option is B 2
(C) is correct
$(1 + t a n θ + s e c θ) (1 + c o t θ - c o s e c θ)$
$= (1 + \frac{s i n θ}{c o s θ} + \frac{1}{c o s θ}) (1 + \frac{c o s θ}{s i n θ} - \frac{1}{s i n θ})$
$= \frac{c o s θ + s i n θ + 1}{c o s θ} \times \frac{s i n θ + c o s θ - 1}{s i n θ}$
$= \frac{(c o s θ + s i n θ)^{2} - 1^{2}}{(c o s θ s i n θ)}$
$= \frac{(c o s^{2} θ + s i n^{2} θ + 2 c o s θ s i n θ - 1)}{(c o s θ s i n θ)}$
$= \frac{(1 + 2 c o s θ s i n θ - 1)}{(c o s θ s i n θ)}$
$= \frac{(2 c o s θ s i n θ)}{(c o s θ s i n θ)} = 2$

Suggest Corrections

Similar questions

Q. Choose the correct option. Justify your choice.

(1 + tan θ + sec θ) (1 + cot θ - c o s e c θ) = ?

Q. Choose the correct answer and justify.

(1 + tan θ + sec θ) (1 + cot θ - c o s e c θ) =

Q. Simplify

(1 + tan θ + sec θ) (1 + cot θ - c o s e c θ)

Q. Solve :-

(1 + tan θ + sec θ) (1 + cot θ - c o s e c θ) = 2

(1 + tan θ + sec θ) (1 + cot θ - c o s e c θ)

is equal to

Join BYJU'S Learning Program

Choose the correct option. (1+tanθ+secθ)(1+cotθ−cosecθ)=

Choose the correct option.
$(1 + t a n θ + s e c θ) (1 + c o t θ - c o s e c θ) =$