Find the value of sin 30 degrees + cos 60 degrees

Step 1: Recall standard trigonometric values

To solve this problem, we need to recall the standard trigonometric values for sine and cosine at specific angles. The value of $\sin 30^{\circ}$ is $1/2$, and the value of $\cos 60^{\circ}$ is also $1/2$. These are fundamental values often memorized or derived from special right triangles.

Step 2: Substitute the values

Now that we have the individual values, we substitute them into the given expression. The expression becomes the sum of $1/2$ and $1/2$.

Step 3: Calculate the sum

Finally, we perform the addition. Adding two halves together results in a whole, which is 1. This gives us the final value of the expression.

More from this chapter

• **EXERCISE 8.3** **1.** Express the trigonometric ratios sin A, tan A and sec A in terms of cot A.
• Cos A / 1 + sin a + 1 + sin a / cos A is equal to 2 sec a
• write all the other trigonometric ratios of angle A in terms of sec A
• Express all the trigonometric ratios in terms of Sin A
• Express the trigonometric ratio sign a sec a tan a in terms of cot a
• Prove that √(sec² A + csc² A) = tan A + cot A
• (secθ - tanθ) = (1)/(m) --- (2) Adding (1) & (2) secθ + tanθ + secθ - tanθ = (1)/(m) + (m)/(1) 2secθ = (1 + m²)/(m) secθ = (1 + m²)/(2m) (Hence proved) 2) If as
• If tanθ + secθ = m, prove that secθ = (m² + 1)/(2m).

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