Question

If sin(69
∘
)=cos(θ) and 0
∘
<θ<90
∘
, then θ=

Answer 1

Explanation:

To find the value of θ given sin(69°) = cos(θ) and 0° < θ < 90°, we can follow these steps:

Step 1: Use the trigonometric identity sin(θ) = cos(90° - θ) to rewrite the given equation: sin(69°) = cos(90° - θ).

Step 2: Substitute the given value sin(69°) into the equation: sin(69°) = cos(90° - θ).

Step 3: Since sin(69°) = cos(90° - θ), we can conclude that 69° = 90° - θ.

Step 4: Rearrange the equation to solve for θ: θ = 90° - 69°.

Step 5: Calculate the value of θ: θ = 21°.

Therefore, if sin(69°) = cos(θ) and 0° < θ < 90°, then θ = 21°.