What is the value of sin squared 30 degrees plus cos squared 30 degrees?

B. 1 — The expression follows the fundamental trigonometric identity sin squared theta plus cos squared theta equals 1 for any angle theta. Since the angle is 30 degrees for both terms, the sum is equal to 1.

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$sin^{2} (3 0^{\circ}) + cos^{2} (3 0^{\circ})$

A. $0$
B. $1$
C. $1/2$
D. $\frac{3}{2}$

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Correct answer: B — $1$

Solution

sin^{2} (θ) + cos^{2} (θ) = 1 for any angle θ . Here θ = 3 0^{\circ}, so the sum is 1 .

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sin2(30∘)+cos2(30∘)

Solution

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$sin^{2} (3 0^{\circ}) + cos^{2} (3 0^{\circ})$