arrow
arrow
arrow
In triangle ABC, if C = 90°. So choose the correct option.
Question

In triangle ABC, if C = 90°. So choose the correct option.

A.

Sin A = Sin B

B.

Sin A = -Sin B

C.

Sin A = Cos B

D.

Sin A = -Cos B

Correct option is C

Given:

In triangle ABC, if C = 90°.

Formula Used:

Using trigonometric identities:
sin(90° - θ\theta​) = cos θ\theta

cos(90° - θ\theta​) = sin θ\theta

Solution:

In a right-angled triangle:

The sum of the angles in a triangle is 180°. Since C = 90°, we have:

A + B = 90°

B = 90° - A.

Since B = 90° - A,

sinB=sin(90A)=cosA\sin B = \sin(90^\circ - A) = \cos A​​

sinB=cosA\sin B = \cos A

Thus, the correct answer is (c).

Free Tests

Free
Must Attempt

UP SI 2025 Full Mock Test : 01

languageIcon English
  • pdpQsnIcon160 Questions
  • pdpsheetsIcon400 Marks
  • timerIcon120 Mins
languageIcon English
Free
Must Attempt

UP Police Constable Full Mock Test 01

languageIcon English
  • pdpQsnIcon150 Questions
  • pdpsheetsIcon300 Marks
  • timerIcon120 Mins
languageIcon English
Free
Must Attempt

Government Policies and Scheme

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon20 Marks
  • timerIcon5 Mins
languageIcon English
test-prime-package

Access ‘Lekhpal’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow