ASSERTION-REASON
The following questions consist of two statements—Assertion(A) and Reason (R). Answer these questions selecting the appropriate option given below.
(a) Both A and R are true and R is the correct explanation for A.
(b) Both A and R is not the correct explanation for A.
(c) A is true but R is false.
(d) A is false and R is true.
1. ASSERTION (A) : sin² 67° + cos² 67° = 1
REASON (R) : For any value of theta,
sin² theta + cos² theta= 1.
2. ASSERTION (A) : If cos A + cos² A = 1
then sin² A + sin⁴ A =
2.
REASON (R) : 1 - sin² A = cos² A, for any
value of A.
3. ASSERTION (A) : In a right angled
triangle, if tan theta =
¾ then sin theta = ⅗.
REASON (R) : sin 60° = ½
Answers
Answered by
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Step-by-step explanation:
. ASSERTION (A) : sin² 67° + cos² 67° = 1
REASON (R) : For any value of theta,
sin² theta + cos² theta= 1.
Answer (a) Both A and R are true and R is the correct explanation for A.
ASSERTION (A) : If cos A + cos² A = 1
then sin² A + sin⁴ A =
cos A +cos^2 B = 1
cos A= 1- cos A^2
cos A= sin ^2
then cos ^2 = sin ^4A
sin^2 A +sin ^4 A =
sinA ^2 A + cos ^2 A = 1
answer
Both A and R are true and R is the correct explanation for A.
3. ASSERTION (A) : In a right angled
triangle, if tan theta =
¾ then sin theta = ⅗.
REASON (R) : sin 60° = ½
answer Both A and R is not the correct explanation for A.
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