Find the value of 'x' in each of the following:

योग

From the figure, we have

tan45° = `"BC"/"AB"`

⇒ 1 = `(24)/x`
⇒ x = 24.

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Trigonometric Equation Problem and Solution

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अध्याय 22: Trigonometrical Ratios of Standard Angles - Exercise 27.2

अध्याय 22 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 1.2

If sin 3A = 1 and 0 < A < 90^°, find sin A

Solve the following equation for A, if tan 3 A = 1

Solve the following equation for A, if 2 sin 3 A = 1

If θ = 30°, verify that: sin2θ = `(2tanθ)/(1 ++ tan^2θ)`

If A = B = 60°, verify that: sin(A - B) = sinA cosB - cosA sinB

Find x and y, in each of the following figure:

Evaluate the following: `(5sec68°)/("cosec"22°) + (3sin52° sec38°)/(cot51° cot39°)`

Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cos72° - cos88°

Evaluate the following: `(3sin37°)/(cos53°) - (5"cosec"39°)/(sec51°) + (4tan23° tan37° tan67° tan53°)/(cos17° cos67° "cosec"73° "cosec"23°)`

Prove the following: sin58° sec32° + cos58° cosec32° = 2