Math  /  Trigonometry

QuestionAxample 4 : In a right triangle ABCA B C, right-angled at BB, if tanA=1\tan A=1, then verify that 2sinAcosA=12 \sin \mathrm{A} \cos \mathrm{A}=1

Studdy Solution
Verify the identity 2sinAcosA=12 \sin A \cos A = 1 using the calculated values of sinA\sin A and cosA\cos A.
2sin45cos45=2(22)(22)=2(24)=2(12)=1 2 \sin 45^\circ \cos 45^\circ = 2 \left(\frac{\sqrt{2}}{2}\right) \left(\frac{\sqrt{2}}{2} \right) = 2 \left(\frac{2}{4}\right) = 2 \left(\frac{1}{2}\right) = 1
The identity 2sinAcosA=12 \sin A \cos A = 1 is verified to be true.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord