Aman writes (sin A + cosec A)^2 + (cos A + sec A)^2 and is told it equals 7 + tan^2 A + cot^2 A. Verify the constant: what is the constant term (the number) in the simplified result?

Question

Accepted Answer

7. Expand: sin^2 A + 2 + cosec^2 A + cos^2 A + 2 + sec^2 A = (sin^2 A + cos^2 A) + 4 + (1 + cot^2 A) + (1 + tan^2 A) = 1 + 4 + 1 + cot^2 A + 1 + tan^2 A = 7 + tan^2 A + cot^2 A. Constant = 7.

Aman writes $(s in A + cosec A)^{2} + (cos A + sec A)^{2}$ and is told it equals 7 + ta $n^{2}$ A + $co$ $t^{2}$ A.
Verify the constant: what is the constant term (the number) in the simplified result?

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More Class 10 Trigonometric Identities practice

Aman writes (sinA+cosecA)2+(cosA+secA)2 and is told it equals 7 + tan2 A + cot2 A.Verify the constant: what is the constant term (the number) in the simplified result?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Trigonometric Identities practice

Aman writes $(s in A + cosec A)^{2} + (cos A + sec A)^{2}$ and is told it equals 7 + ta $n^{2}$ A + $co$ $t^{2}$ A.
Verify the constant: what is the constant term (the number) in the simplified result?