Assertion (A): {sec{\ }}^2{45}^\circ-{tan{\ }}^2{45}^\circ=1 Reason (R): {sec{\ }}^2\theta-{tan{\ }}^2\theta=1\mathrm{for\ all\ values\ of\ }\theta

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Solution

Q.
$A s s e r t i o n (A) : {s e c}^{2} 45 ° - {t a n}^{2} 45 ° = 1$

$R e a s o n (R) : {s e c}^{2} θ - {t a n}^{2} θ = 1 for all values of θ$

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A.

3 A is true, but R is false.

4 A is false, but R is true.

Ans.
(3)

Assertion (A) is true, but Reason (R) is false as the identity ${s e c}^{2} θ - {t a n}^{2} θ = 1$

$i s n o t d e f i n e d f o r θ = 90 °$

Want Us to Email you About Special Offers & Updates?

Solution

Q. Assertion(A): sec 245°-tan 245°=1 Reason(R): sec 2θ-tan 2θ=1 for all values of θ

1 Both A and R are true, and R is the correct explanation of A.

2 Both A and R are true, but R is not the correct explanation of A.

3 A is true, but R is false.

4 A is false, but R is true.

Ans. (3) Assertion (A) is true, but Reason (R) is false as the identity sec 2θ-tan 2θ=1 is not defined for θ = 90°

Want Us to Email you About Special Offers & Updates?

Q.
$A s s e r t i o n (A) : {s e c}^{2} 45 ° - {t a n}^{2} 45 ° = 1$

$R e a s o n (R) : {s e c}^{2} θ - {t a n}^{2} θ = 1 for all values of θ$

Ans.
(3)

Assertion (A) is true, but Reason (R) is false as the identity ${s e c}^{2} θ - {t a n}^{2} θ = 1$

$i s n o t d e f i n e d f o r θ = 90 °$