In a triangle , if and the lengths of the sides opposite to the angles and are and respectively, then is equal to

Explanation: Step 1: Di gayi information Equation: Sides: (angle ke opposite) aur (angle ke opposite). Hame nikalna hai: Step 2: Trigonometric Identity ka upyog Hum jante hain ki ek triangle mein hota hai. Di gayi equation ko rearrange karte hain: Ab sum-to-product formula ka use karte hain: ko cancel karne par (kyunki ): Dono taraf se multiply karte hain: Step 3: Sine Rule ka upyog Sine rule ke anusar: Iska matlab , aur . Sawal ki conditions se hum nikal sakte hain ki: Step 4: Cosine Formula se aur nikalna Ab hamare paas teeno sides hain: . Step 5: Final Answer

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

In a triangle $ABC$ , if $\cos A + 2 \cos B + \cos C = 2$ and the lengths of the sides opposite to the angles $A$ and $C$ are $3$ and $7$ respectively, then $\cos A - \cos C$ is equal to

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Di gayi information

Step 2: Trigonometric Identity ka upyog

Step 3: Sine Rule ka upyog

Step 4: Cosine Formula se $\cos A$ aur $\cos C$ nikalna

Step 5: Final Answer