Question
Consider the following statements about Salton
Sea: 1.   Mexico recently discovered the world’s largest Lithium reserve beneath California’s Salton Sea. 2.   It is a shallow, saline lake located in Mexico. 3.   It is a geological depression tucked between mountain ranges and lying below sea level. Which of the statements given above is/are correct?Solution
The U.S. Department of Energy recently discovered the world’s largest Lithium reserve beneath California’s Salton Sea. It is a shallow, saline lake located in the lower Colorado Desert, southern California, USA.  It is a geological depression tucked between mountain ranges and lying below sea level. The area that is now the lake was formerly a salt-covered sink or depression (a remnant of prehistoric Lake Cahuilla) about 280 feet (85 metres) below sea level until 1905–06, when diversion controls on the Colorado River broke a few miles below the California-Mexico border and floodwaters rushed northward, filling the depression.
If cos2B = sin(1.5B + 27 o), then find the measure of 'B'.Â
If sec a + tan a = 3, find the value of sin a.Â
If tan 4θ = cot 14θ, then find the value of cos 9θ.
If sec 4A = cosec (3A - 50°), where 4A and 3A are acute angles, find the value of A + 75.
The maximum value of 45 sin θ + 28 cos θ is:
- Find the value of sin²10° + sin²80° + cos²15° + cos²75°.

- If sin (2A − 3B) = (1/2) and cos (A + B) = (√3/2), where 0° < A, B < 90°, then find the value of ‘A’.
Simplify the following trigonometric expression:Â
15 cos 25° cosec 65° − 5 cot 80° cot 10°